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802.1003
Atif Aziz
M. C. Wu, A. Aziz, D. Morecroft, M. G. Blamire, M. C. Hickey, M. Ali, G. Burnell and B.J. Hickey
Spin-transfer switching and low-field precession in exchange-biased spin valve nano-pillars
11 pages, 4 figures. To appear in APL, April 2008
null
10.1063/1.2905816
null
cond-mat.mtrl-sci
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Using a three-dimensional focused-ion beam lithography process we have fabricated nanopillar devices which show spin transfer torque switching at zero external magnetic fields. Under a small in-plane external bias field, a field-dependent peak in the differential resistance versus current is observed similar to that reported in asymmetrical nanopillar devices. This is interpreted as evidence for the low-field excitation of spin waves which in our case is attributed to a spin-scattering asymmetry enhanced by the IrMn exchange bias layer coupled to a relatively thin CoFe fixed layer.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 15:19:48 GMT" } ]
2009-11-13T00:00:00
[ [ "Wu", "M. C.", "" ], [ "Aziz", "A.", "" ], [ "Morecroft", "D.", "" ], [ "Blamire", "M. G.", "" ], [ "Hickey", "M. C.", "" ], [ "Ali", "M.", "" ], [ "Burnell", "G.", "" ], [ "Hickey", "B. J.", "" ] ]
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802.1004
Hagai B. Perets
Hagai B. Perets
Runaway and hypervelocity stars in the Galactic halo: Binary rejuvenation and triple disruption
11 pages, 2 figures, 2 tables. Improved analysis. ApJ, in press
Astrophys.J.698:1330-1340,2009
10.1088/0004-637X/698/2/1330
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Young stars observed in the distant Galactic halo are usually thought to have formed elsewhere, either in the Galactic disk or perhaps the Galactic center, and subsequently ejected at high velocities to their current position. However, some of these stars have apparent lifetimes shorter the required flight time from the Galactic disk/center. We suggest that such stars have evolved in close runaway or hypervelocity binaries. Stellar evolution of such binaries can drive them into mass transfer configurations and even mergers. Such evolution could then rejuvenate them (e.g. blue stragglers) and extend their lifetime after their ejection. The extended lifetimes of such stars could then be reconciled with their flight times to the Galactic halo. We study the possibilities of binary runaway and hypervelocity stars and show that such binaries could have been ejected in triple disruptions and other dynamical interactions with stars or with massive black holes. We show that currently observed "too young" star in the halo could have been ejected from the Galactic disk or the Galactic center and be observable in their current position if they were ejected as binaries. Specifically it is shown that the hypervelocity star HE 0437-5439 could be such a rejuvenated star. Other suggestions for its ejection from the LMC are found to be highly unlikely. Moreover, it is shown that its observed metallicity is most consistent with a Galactic origin and a Galactic center origin can not currently rule out. In addition, we suggest that triple disruptions by the massive black hole in the Galactic center could also capture binaries in close orbits near the MBH, some of which may later evolve to become more massive rejuvenated stars.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 15:27:57 GMT" }, { "version": "v2", "created": "Mon, 14 Apr 2008 08:39:39 GMT" }, { "version": "v3", "created": "Tue, 7 Apr 2009 16:59:17 GMT" } ]
2009-06-23T00:00:00
[ [ "Perets", "Hagai B.", "" ] ]
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802.1005
Katharine Walker
Katharine C. Walker
Quotient groups of the fundamental groups of certain strata of the moduli space of quadratic differentials
43 pages, 7 figures. Version 2: Minor typos fixed, Section 3 removed and may now be found in arXiv:0804.0434
Geom. Topol. 14 (2010) 1129-1164
10.2140/gt.2010.14.1129
null
math.GT
null
In this paper, we study fundamental groups of strata of the moduli space of quadratic differentials. We use certain properties of the Abel-Jacobi map, combined with local surgeries on quadratic differentials, to construct quotient groups of the fundamental groups for a particular family of strata.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 16:51:42 GMT" }, { "version": "v2", "created": "Sun, 18 May 2008 18:15:17 GMT" } ]
2014-11-11T00:00:00
[ [ "Walker", "Katharine C.", "" ] ]
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802.1006
Paul Goerss
Paul G. Goerss
The Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheres
Notes from lectures at IRMA Strasbourg, May 7-11, 2007
null
null
null
math.AT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
These are notes for a five lecture series intended to uncover large-scale phenomena in the homotopy groups of spheres using the Adams-Novikov Spectral Sequence. The lectures were given in Strasbourg, May 7-11, 2007.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 15:29:38 GMT" } ]
2008-02-08T00:00:00
[ [ "Goerss", "Paul G.", "" ] ]
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802.1007
Julian Carrey
Reasmey P. Tan, Julian Carrey and Marc Respaud
Voltage and Temperature Dependence of High-Field Magnetoresistance in Arrays of Magnetic Nanoparticles
19 pages, with 6 figures, references and figure captions
J. Appl. Phys. 104, 023908 (2008)
10.1063/1.2957061
null
cond-mat.mtrl-sci
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Huge values of high field magnetoresistance have been recently reported in large arrays of CoFe nanoparticles embedded in an organic insulating lattice in the Coulomb blockade regime. An unusual exponential decrease of magnetoresistance with increasing voltage was observed, as well as a characteristic scaling of the magnetoresistance amplitude versus the field-temperature ratio. We propose a model which takes into account the influence of paramagnetic impurities on the transport properties of the system to describe these features. It is assumed that the non-colinearity between the core spins inside the nanoparticles and the paramagnetic impurities can be modelled by an effective tunnel barrier, the height of which depends on the relative angle between the magnetization of both kind of spins. The influence on the magnetotransport properties of the height and the thickness of the effective tunnel barrier of the magnetic moment of the impurity, as well as the bias voltage are studied. This model allows us to reproduce the large magnetoresistance magnitude observed and its strong voltage dependence, with realistic parameters.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 15:30:41 GMT" } ]
2008-10-09T00:00:00
[ [ "Tan", "Reasmey P.", "" ], [ "Carrey", "Julian", "" ], [ "Respaud", "Marc", "" ] ]
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802.1008
Bertrand Iooss
Amandine Marrel (LMTE), Bertrand Iooss (LCFR), Beatrice Laurent (IMT), Olivier Roustant
Calculations of Sobol indices for the Gaussian process metamodel
null
null
null
null
stat.ME math.ST stat.TH
null
Global sensitivity analysis of complex numerical models can be performed by calculating variance-based importance measures of the input variables, such as the Sobol indices. However, these techniques, requiring a large number of model evaluations, are often unacceptable for time expensive computer codes. A well known and widely used decision consists in replacing the computer code by a metamodel, predicting the model responses with a negligible computation time and rending straightforward the estimation of Sobol indices. In this paper, we discuss about the Gaussian process model which gives analytical expressions of Sobol indices. Two approaches are studied to compute the Sobol indices: the first based on the predictor of the Gaussian process model and the second based on the global stochastic process model. Comparisons between the two estimates, made on analytical examples, show the superiority of the second approach in terms of convergence and robustness. Moreover, the second approach allows to integrate the modeling error of the Gaussian process model by directly giving some confidence intervals on the Sobol indices. These techniques are finally applied to a real case of hydrogeological modeling.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 15:31:17 GMT" } ]
2008-02-08T00:00:00
[ [ "Marrel", "Amandine", "", "LMTE" ], [ "Iooss", "Bertrand", "", "LCFR" ], [ "Laurent", "Beatrice", "", "IMT" ], [ "Roustant", "Olivier", "" ] ]
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802.1009
Bertrand Iooss
Bertrand Iooss (LCFR), Mathieu Ribatet (UR HHLY, INRS)
Global sensitivity analysis of computer models with functional inputs
null
null
null
null
stat.AP math.ST stat.TH
null
Global sensitivity analysis is used to quantify the influence of uncertain input parameters on the response variability of a numerical model. The common quantitative methods are applicable to computer codes with scalar input variables. This paper aims to illustrate different variance-based sensitivity analysis techniques, based on the so-called Sobol indices, when some input variables are functional, such as stochastic processes or random spatial fields. In this work, we focus on large cpu time computer codes which need a preliminary meta-modeling step before performing the sensitivity analysis. We propose the use of the joint modeling approach, i.e., modeling simultaneously the mean and the dispersion of the code outputs using two interlinked Generalized Linear Models (GLM) or Generalized Additive Models (GAM). The ``mean'' model allows to estimate the sensitivity indices of each scalar input variables, while the ``dispersion'' model allows to derive the total sensitivity index of the functional input variables. The proposed approach is compared to some classical SA methodologies on an analytical function. Lastly, the proposed methodology is applied to a concrete industrial computer code that simulates the nuclear fuel irradiation.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 15:34:54 GMT" }, { "version": "v2", "created": "Mon, 9 Jun 2008 07:14:01 GMT" } ]
2008-06-09T00:00:00
[ [ "Iooss", "Bertrand", "", "LCFR" ], [ "Ribatet", "Mathieu", "", "UR HHLY, INRS" ] ]
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802.101
Robert Seguin
M. Feucker, R. Seguin, S. Rodt, A. Hoffmann, D. Bimberg
Decay dynamics of neutral and charged excitonic complexes in single InAs/GaAs quantum dots
4 pages, 4 figures
Appl. Phys. Lett. 92, 063116 (2008)
10.1063/1.2844886
null
cond-mat.mtrl-sci
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Systematic time-resolved measurements on neutral and charged excitonic complexes (X, XX, X+, and XX+) of 26 different single InAs/GaAs quantum dots are reported. The ratios of the decay times are discussed in terms of the number of transition channels determined by the excitonic fine structure and a specific transition time for each channel. The measured ratio for the neutral complexes is 1.7 deviating from the theoretically predicted value of 2. A ratio of 1.5 for the positively charged exciton and biexciton decay time is predicted and exactly matched by the measured ratio indicating identical specific transition times for the transition channels involved.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 15:34:59 GMT" } ]
2008-02-18T00:00:00
[ [ "Feucker", "M.", "" ], [ "Seguin", "R.", "" ], [ "Rodt", "S.", "" ], [ "Hoffmann", "A.", "" ], [ "Bimberg", "D.", "" ] ]
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802.1011
R. Torsten Clay
S. Mazumdar and R.T. Clay
Quantum critical transition from charge-ordered to superconducting state in the triangular lattice negative-U extended Hubbard model
4 pages, 6 EPS fig files
Phys. Rev. B 77, 180515(R) (2008)
10.1103/PhysRevB.77.180515
null
cond-mat.str-el cond-mat.supr-con
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We demonstrate a robust frustration-driven charge-order to superconductivity transition in the half-filled negative-U extended Hubbard model. Superconductivity extends over a broad region of the parameter space. We argue that the model provides the correct insight to understanding unconventional superconductivity in the organic charge-transfer solids and other quarter-filled systems.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 15:35:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Mazumdar", "S.", "" ], [ "Clay", "R. T.", "" ] ]
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802.1012
Sonia Giovanna Temporin
S. Temporin, A. Iovino, M. Bolzonella, H. J. McCracken, M. Scodeggio, B. Garilli, D. Bottini, V. Le Brun, O. Le Fevre, D. Maccagni, J. P. Picat, R. Scaramella, L. Tresse, G. Vettolani, A. Zanichelli, C. Adami, S. Arnouts, S. Bardelli, A. Cappi, S. Charlot, P. Ciliegi, T. Contini, O. Cucciati, S. Foucaud, P. Franzetti, I. Gavignaud, L. Guzzo, O. Ilbert, B. Marano, C. Marinoni, A. Mazure, B. Meneux, R. Merighi, S. Paltani, R. Pello, A. Pollo, L. Pozzetti, M. Radovich, D. Vergani, G. Zamorani, E. Zucca, M. Bondi, A. Bongiorno, J. Brinchmann, S. de la Torre, F. Lamareille, Y.Mellier, C. J. Walcher
The VIMOS VLT Deep Survey: The K-band follow-up in the 0226-04 field
16 pages, 17 figures, accepted for publication in A&A on 01/02/2008
null
10.1051/0004-6361:20078526
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
AIMS. We present a new Ks-band survey that represents a significant extension to the previous wide-field Ks-band imaging survey within the 0226-04 field of the VIMOS-VLT deep survey (VVDS). The new data add ~ 458 arcmin^2 to the previous imaging program, thus allowing us to cover a total contiguous area of ~ 600 arcmin^2 within this field. METHODS. Sources are identified both directly on the final K-band mosaic image and on the corresponding, deep chi^2-g'r'i' image from the CFHT Legacy Survey in order to reduce contamination while ensuring us the compilation of a truly K-selected catalogue down to the completeness limit of the Ks-band. The newly determined Ks-band magnitudes are used in combination with the ancillary multiwavelength data for the determination of accurate photometric redshifts. RESULTS. The final catalogue totals ~ 52000 sources, out of which ~ 4400 have a spectroscopic redshift from the VVDS first epoch survey. The catalogue is 90% complete down to K_Vega = 20.5 mag. We present K_s-band galaxy counts and angular correlation function measurements down to such magnitude limit. Our results are in good agreement with previously published work. We show that the use of K magnitudes in the determination of photometric redshifts significantly lowers the incidence of catastrophic errors. The data presented in this paper are publicly available through the CENCOS database.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 15:37:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Temporin", "S.", "" ], [ "Iovino", "A.", "" ], [ "Bolzonella", "M.", "" ], [ "McCracken", "H. J.", "" ], [ "Scodeggio", "M.", "" ], [ "Garilli", "B.", "" ], [ "Bottini", "D.", "" ], [ "Brun", "V. Le", "" ], [ "Fevre", "O. Le", "" ], [ "Maccagni", "D.", "" ], [ "Picat", "J. P.", "" ], [ "Scaramella", "R.", "" ], [ "Tresse", "L.", "" ], [ "Vettolani", "G.", "" ], [ "Zanichelli", "A.", "" ], [ "Adami", "C.", "" ], [ "Arnouts", "S.", "" ], [ "Bardelli", "S.", "" ], [ "Cappi", "A.", "" ], [ "Charlot", "S.", "" ], [ "Ciliegi", "P.", "" ], [ "Contini", "T.", "" ], [ "Cucciati", "O.", "" ], [ "Foucaud", "S.", "" ], [ "Franzetti", "P.", "" ], [ "Gavignaud", "I.", "" ], [ "Guzzo", "L.", "" ], [ "Ilbert", "O.", "" ], [ "Marano", "B.", "" ], [ "Marinoni", "C.", "" ], [ "Mazure", "A.", "" ], [ "Meneux", "B.", "" ], [ "Merighi", "R.", "" ], [ "Paltani", "S.", "" ], [ "Pello", "R.", "" ], [ "Pollo", "A.", "" ], [ "Pozzetti", "L.", "" ], [ "Radovich", "M.", "" ], [ "Vergani", "D.", "" ], [ "Zamorani", "G.", "" ], [ "Zucca", "E.", "" ], [ "Bondi", "M.", "" ], [ "Bongiorno", "A.", "" ], [ "Brinchmann", "J.", "" ], [ "de la Torre", "S.", "" ], [ "Lamareille", "F.", "" ], [ "Mellier", "Y.", "" ], [ "Walcher", "C. J.", "" ] ]
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802.1013
George Vinogradov
T. Yu. Astakhova, N. S. Erikhman, V. N. Likhachev, and G. A. Vinogradov
Vibrational resonances in 1D Morse and FPU lattices
10 pages, 5 figures
null
null
null
nlin.CD
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In the present paper the resonances of vibrational modes in one-dimensional random Morse lattice are found and analyzed. The resonance energy exchange is observed at some values of elongation. Resonance $2 \omega_1 = \omega_2$ is investigated in details. The interacting modes are inequivalent: the higher-frequency mode is much more stable in the excited state, i.e. its life-time is larger than the life-time of lower-frequency mode under the resonance conditions. Simple model of two nonlinearly coupled harmonic oscillators is also considered. It allows to get analytical description and to investigate the kinetics and the energy exchange degree vs. such parameters as the resonance detuning and specific energy. The very similar behavior is found in the Morse and the two-oscillatory models, and an excellent agreement between analytical and numerical results is obtained. Analogous resonance phenomena are also found in the random Fermi-Pasta-Ulam lattice under contraction.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 15:47:47 GMT" } ]
2008-02-08T00:00:00
[ [ "Astakhova", "T. Yu.", "" ], [ "Erikhman", "N. S.", "" ], [ "Likhachev", "V. N.", "" ], [ "Vinogradov", "G. A.", "" ] ]
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802.1014
Marcin Badziak
M. Badziak and M. Olechowski (Warsaw U.)
Volume modulus inflation and a low scale of SUSY breaking
28 pages, 8 figures, comments and references added, minor change in notation, version to be published
JCAP 0807:021,2008
10.1088/1475-7516/2008/07/021
IFT-08-03
hep-th astro-ph hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The relation between the Hubble constant and the scale of supersymmetry breaking is investigated in models of inflation dominated by a string modulus. Usually in this kind of models the gravitino mass is of the same order of magnitude as the Hubble constant which is not desirable from the phenomenological point of view. It is shown that slow-roll saddle point inflation may be compatible with a low scale of supersymmetry breaking only if some corrections to the lowest order Kahler potential are taken into account. However, choosing an appropriate Kahler potential is not enough. There are also conditions for the superpotential, and e.g. the popular racetrack superpotential turns out to be not suitable. A model is proposed in which slow-roll inflation and a light gravitino are compatible. It is based on a superpotential with a triple gaugino condensation and the Kahler potential with the leading string corrections. The problem of fine tuning and experimental constraints are discussed for that model.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 19:40:50 GMT" }, { "version": "v2", "created": "Tue, 8 Jul 2008 13:01:47 GMT" } ]
2014-11-18T00:00:00
[ [ "Badziak", "M.", "", "Warsaw U." ], [ "Olechowski", "M.", "", "Warsaw U." ] ]
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802.1015
Arnaud Legout
Pawel Marciniak, Nikitas Liogkas (UCLA), Arnaud Legout (INRIA Sophia Antipolis / INRIA Rh\^one-Alpes), Eddie Kohler (UCLA)
Small Is Not Always Beautiful
null
Dans IPTPS'2008 (2008)
null
null
cs.NI
null
Peer-to-peer content distribution systems have been enjoying great popularity, and are now gaining momentum as a means of disseminating video streams over the Internet. In many of these protocols, including the popular BitTorrent, content is split into mostly fixed-size pieces, allowing a client to download data from many peers simultaneously. This makes piece size potentially critical for performance. However, previous research efforts have largely overlooked this parameter, opting to focus on others instead. This paper presents the results of real experiments with varying piece sizes on a controlled BitTorrent testbed. We demonstrate that this parameter is indeed critical, as it determines the degree of parallelism in the system, and we investigate optimal piece sizes for distributing small and large content. We also pinpoint a related design trade-off, and explain how BitTorrent's choice of dividing pieces into subpieces attempts to address it.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 16:04:33 GMT" } ]
2008-02-08T00:00:00
[ [ "Marciniak", "Pawel", "", "UCLA" ], [ "Liogkas", "Nikitas", "", "UCLA" ], [ "Legout", "Arnaud", "", "INRIA Sophia\n Antipolis / INRIA Rhône-Alpes" ], [ "Kohler", "Eddie", "", "UCLA" ] ]
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802.1016
Marco Zoli
Marco Zoli
On the Decay Rate of the False Vacuum
5 Figures
J. Math. Phys. Vol.48, 082101 (2007)
null
null
cond-mat.stat-mech
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The finite size theory of metastability in a quartic potential is developed by the semiclassical path integral method. In the quantum regime, the relation between temperature and classical particle energy is found in terms of the first complete elliptic integral. At the sphaleron energy, the criterion which defines the extension of the quantum regime is recovered. Within the latter, the temperature effects on the fluctuation spectrum are evaluated by the functional determinants method and computed. The eigenvalue which causes metastability is determined as a function of size/temperature by solving a Lam\`{e} equation. The ground state lifetime shows remarkable deviations with respect to the result of the infinite size theory.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 16:07:51 GMT" } ]
2008-02-08T00:00:00
[ [ "Zoli", "Marco", "" ] ]
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802.1017
Stefan Theisen
A. Schwimmer and S. Theisen
Entanglement Entropy, Trace Anomalies and Holography
33 pages, 1 figure; v2: references and two footnotes added, typos corrected
Nucl.Phys.B801:1-24,2008
10.1016/j.nuclphysb.2008.04.015
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The holographic representation of the entanglement entropy of four dimensional conformal field theories is studied. By generalizing the replica trick the anomalous terms in the entanglement entropy are evaluated. The same terms in the holographic representation are calculated by a method which does not require the solution of the equations of motion or a cut off. The two calculations disagree for rather generic geometries. The reasons for the disagreement are analyzed.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 16:21:19 GMT" }, { "version": "v2", "created": "Fri, 22 Feb 2008 18:43:02 GMT" } ]
2008-11-26T00:00:00
[ [ "Schwimmer", "A.", "" ], [ "Theisen", "S.", "" ] ]
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802.1018
Julian Carrey
Reasmey P. Tan, Julian Carrey, Marc Respaud, Celine Desvaux, Philippe Renaud and Bruno Chaudret
High-field and low field magnetoresistance of CoFe nanoparticles elaborated by organometallic chemistry
12 pages, with 3 figures, references and figure captions. Proceeding of the 52nd MMM conference
J. Appl. Phys. 103, 07F317 (2008)
10.1063/1.2838621
null
cond-mat.mtrl-sci
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We report on magnetotransport measurements on CoFe nanoparticles surrounded by an insulating organic layer. Samples were obtained by evaporating a solution of nanoparticles on a patterned substrate. Typical behaviour of Coulomb blockade in array of nanoparticles is observed. High and low field magnetoresistance have been evidenced. Below 10 K, a large high-field magnetoresistance is measured, reaching up to 500 %. Its amplitude decreases strongly with increasing voltage. At 1.6 K, this high-field magnetoresistance vanishes and an inverse low field tunnelling magnetoresistance is observed.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 16:40:03 GMT" } ]
2008-10-09T00:00:00
[ [ "Tan", "Reasmey P.", "" ], [ "Carrey", "Julian", "" ], [ "Respaud", "Marc", "" ], [ "Desvaux", "Celine", "" ], [ "Renaud", "Philippe", "" ], [ "Chaudret", "Bruno", "" ] ]
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802.1019
Florin P. Boca
Florin P. Boca, Radu N. Gologan
On the distribution of the free path length of the linear flow in a honeycomb
20 pages, 9 figures
null
null
null
math.DS math.NT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let $\ell \geq 2$ be an integer. For each $\eps >0$ remove from $\R^2$ the union of discs of radius $\eps$ centered at the integer lattice points $(m,n$, with $m\nequiv n\mod{\ell}$. Consider a point-like particle moving linearly at unit speed, with velocity $\omega$, along a trajectory starting at the origin, and its free path length $\tau_{\ell,\eps} (\omega)\in [0,\infty]$. We prove the weak convergence of the probability measures associated with the random variables $\eps \tau_{\ell,\eps}$ as $\eps \to 0^+$ and explicitly compute the limiting distribution. For $\ell=3$ this leads to an asymptotic formula for the length of the trajectory of a billiard in a regular hexagon, starting at the center, with circular pockets of radius $\eps\to 0^+$ removed from the corners. For $\ell=2$ this corresponds to the trajectory of a billiard in a unit square with circular pockets removed from the corners and trajectory starting at the center of the square. The limiting probability measures on $[0,\infty)$ have a tail at infinity, which contrasts with the case of a square with pockets and trajectory starting from one of the corners, where the limiting probability measure has compact support.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 16:47:12 GMT" }, { "version": "v2", "created": "Tue, 8 Jul 2008 11:58:21 GMT" } ]
2008-07-08T00:00:00
[ [ "Boca", "Florin P.", "" ], [ "Gologan", "Radu N.", "" ] ]
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802.102
Muneto Nitta
Minoru Eto, Toshiaki Fujimori, Sven Bjarke Gudnason, Kenichi Konishi, Muneto Nitta, Keisuke Ohashi and Walter Vinci
Constructing Non-Abelian Vortices with Arbitrary Gauge Groups
10 pages, no figures, v2: minor changes and typos corrected
Phys.Lett.B669:98-101,2008
10.1016/j.physletb.2008.09.007
IFUP-TH/2008-02, TIT/HEP-579, DAMTP-2008-8
hep-th
null
We construct the general vortex solution in the fully-Higgsed, color-flavor locked vacuum of a non-Abelian gauge theory, where the gauge group is taken to be the product of an arbitrary simple group and U(1), with a Fayet-Iliopoulos term. The vortex moduli space is determined.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 18:54:45 GMT" }, { "version": "v2", "created": "Fri, 15 Feb 2008 21:21:40 GMT" } ]
2008-11-26T00:00:00
[ [ "Eto", "Minoru", "" ], [ "Fujimori", "Toshiaki", "" ], [ "Gudnason", "Sven Bjarke", "" ], [ "Konishi", "Kenichi", "" ], [ "Nitta", "Muneto", "" ], [ "Ohashi", "Keisuke", "" ], [ "Vinci", "Walter", "" ] ]
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802.1021
Mihnea Popa
Giuseppe Pareschi and Mihnea Popa
Regularity on abelian varieties III: relationship with Generic Vanishing and applications
25 pages; this replaces the older preprint math.AG/0306103 and roughly half of the content is new; prepared for the Proceedings of the Clay Institute Workshop on vector bundles, October 2006; updated references
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We describe the relationship between the notions of $M$-regular sheaf and $GV$-sheaf in the case of abelian varieties. The former is a natural strengthening of the latter, and we provide an algebraic criterion characterizing it among the larger class. Based on this we deduce new basic properties of both $M$-regular and $GV$-sheaves. In the second part we give a number of applications of generation criteria for $M$-regular sheaves to the study of Seshadri constants, Picard bundles, pluricanonical maps on irregular varieties, and semihomogeneous vector bundles. This second part of the paper is based on our earlier preprint math.AG/0306103, with some improved statements and shortened arguments.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 17:00:23 GMT" }, { "version": "v2", "created": "Mon, 18 Aug 2008 18:19:32 GMT" } ]
2008-08-18T00:00:00
[ [ "Pareschi", "Giuseppe", "" ], [ "Popa", "Mihnea", "" ] ]
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802.1022
Richard L. Hall
Nasser Saad, Richard L. Hall, and Hakan Ciftci
The Klein-Gordon equation with the Kratzer potential in d dimensions
13 pages
null
10.2478/s11534-008-0022-4
CUQM-124
math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We apply the Asymptotic Iteration Method to obtain the bound-state energy spectrum for the d-dimensional Klein-Gordon equation with scalar S(r) and vector potentials V(r). When S(r) and V(r) are both Coulombic, we obtain all the exact solutions; when the potentials are both of Kratzer type, we obtain all the exact solutions for S(r)=V(r); if S(r) > V(r) we obtain exact solutions under certain constraints on the potential parameters: in this case, a possible general solution is found in terms of a monic polynomial, whose coefficients form a set of elementary symmetric polynomials.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 17:07:34 GMT" } ]
2009-11-13T00:00:00
[ [ "Saad", "Nasser", "" ], [ "Hall", "Richard L.", "" ], [ "Ciftci", "Hakan", "" ] ]
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802.1023
Alfredo Sandoval-Villalbazo
A. Sandoval-Villalbazo, A. Aragones-Munoz, A. L. Garcia-Perciante
The Simple Non-degenerate Relativistic Gas: Statistical Properties and Brownian Motion
6 pages, 2 figures
Int.J.Mod.Phys.B24:6043-6048,2010
10.1142/S0217979210055226
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper shows a novel calculation of the mean square displacement of a classical Brownian particle in a relativistic thermal bath. The result is compared with the expressions obtained by other authors. Also, the thermodynamic properties of a non-degenerate simple relativistic gas are reviewed in terms of a treatment performed in velocity space.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 17:16:41 GMT" }, { "version": "v2", "created": "Thu, 15 Jan 2009 20:00:18 GMT" } ]
2011-03-15T00:00:00
[ [ "Sandoval-Villalbazo", "A.", "" ], [ "Aragones-Munoz", "A.", "" ], [ "Garcia-Perciante", "A. L.", "" ] ]
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802.1024
Rui Dilao
Rui Dilao
Synchronizing Huygens's clocks
4 pages, 4 figures
null
null
null
nlin.AO nlin.CD
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We introduce an interaction mechanism between oscillators leading to exact anti-phase and in-phase synchronization. This mechanism is applied to the coupling between two nonlinear oscillators with a limit cycle in phase space, leading to a simple justification of the anti-phase synchronization observed in the Huygens's pendulum clocks experiment. If the two coupled nonlinear oscillators reach the anti-phase or the in-phase synchronized oscillatory state, the period of oscillation is different from the eigen-periods of the uncoupled oscillators.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 17:31:08 GMT" } ]
2008-02-08T00:00:00
[ [ "Dilao", "Rui", "" ] ]
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802.1025
Rafal Kulik
Mikl\'os Cs\"org\H{o} and Rafal Kulik
Reduction principles for quantile and Bahadur-Kiefer processes of long-range dependent linear sequences
Preprint. The final version will appear in Probability Theory and Related Fields
null
10.1007/s00440-007-0107-9
null
math.ST stat.TH
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we consider quantile and Bahadur-Kiefer processes for long range dependent linear sequences. These processes, unlike in previous studies, are considered on the whole interval $(0,1)$. As it is well-known, quantile processes can have very erratic behavior on the tails. We overcome this problem by considering these processes with appropriate weight functions. In this way we conclude strong approximations that yield some remarkable phenomena that are not shared with i.i.d. sequences, including weak convergence of the Bahadur-Kiefer processes, a different pointwise behavior of the general and uniform Bahadur-Kiefer processes, and a somewhat "strange" behavior of the general quantile process.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 17:31:58 GMT" } ]
2008-02-08T00:00:00
[ [ "Csörgő", "Miklós", "" ], [ "Kulik", "Rafal", "" ] ]
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802.1026
Benjamin Sach Mr
Benjamin Sach and Rapha\"el Clifford
An Empirical Study of Cache-Oblivious Priority Queues and their Application to the Shortest Path Problem
null
null
null
null
cs.DS cs.SE
null
In recent years the Cache-Oblivious model of external memory computation has provided an attractive theoretical basis for the analysis of algorithms on massive datasets. Much progress has been made in discovering algorithms that are asymptotically optimal or near optimal. However, to date there are still relatively few successful experimental studies. In this paper we compare two different Cache-Oblivious priority queues based on the Funnel and Bucket Heap and apply them to the single source shortest path problem on graphs with positive edge weights. Our results show that when RAM is limited and data is swapping to external storage, the Cache-Oblivious priority queues achieve orders of magnitude speedups over standard internal memory techniques. However, for the single source shortest path problem both on simulated and real world graph data, these speedups are markedly lower due to the time required to access the graph adjacency list itself.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 18:02:11 GMT" } ]
2008-02-08T00:00:00
[ [ "Sach", "Benjamin", "" ], [ "Clifford", "Raphaël", "" ] ]
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802.1027
Yoav Lahini
Yoav Lahini, Francesca Pozzi, Marc Sorel, Roberto Morandotti, Demetrios N. Christodoulides and Yaron Silberberg
The effect of nonlinearity on adiabatic evolution of light
Comments welcomed
Physical Review Letters 101, 193901 (2008)
10.1103/PhysRevLett.101.193901
null
cond-mat.other nlin.PS physics.atom-ph quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We investigate the effect of nonlinearity in a system described by an adiabatically evolving Hamiltonian. Experiments are conducted in a three-core waveguide structure that is adiabatically varying with distance, in analogy to the STIRAP process in atomic physics. In the linear regime, the system exhibits an adiabatic power transfer between two waveguides which are not directly coupled, with negligible power recorded in the intermediate coupling waveguide. In the presence of nonlinearity the behavior of this configuration is drastically altered and the adiabatic light passage is found to critically depend on the excitation power. We show how this effect is related to the destruction of the dark state formed in the STIRAP configuration.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 17:45:23 GMT" }, { "version": "v2", "created": "Thu, 7 Aug 2008 12:34:30 GMT" } ]
2010-12-09T00:00:00
[ [ "Lahini", "Yoav", "" ], [ "Pozzi", "Francesca", "" ], [ "Sorel", "Marc", "" ], [ "Morandotti", "Roberto", "" ], [ "Christodoulides", "Demetrios N.", "" ], [ "Silberberg", "Yaron", "" ] ]
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802.1028
Johannes Tran-Gia
Florian Linder, Johannes Tran-Gia, Silvio R. Dahmen, and Haye Hinrichsen
Long-range epidemic spreading with immunization
LaTeX, 14 pages, 4 eps figures
J. Phys. A: Math. Theor. 41 (2008) 185005
10.1088/1751-8113/41/18/185005
null
cond-mat.stat-mech
null
We study the phase transition between survival and extinction in an epidemic process with long-range interactions and immunization. This model can be viewed as the well-known general epidemic process (GEP) in which nearest-neighbor interactions are replaced by Levy flights over distances r which are distributed as P(r) ~ r^(-d-sigma). By extensive numerical simulations we confirm previous field-theoretical results obtained by Janssen et al. [Eur. Phys. J. B7, 137 (1999)].
[ { "version": "v1", "created": "Thu, 7 Feb 2008 18:54:40 GMT" } ]
2008-04-22T00:00:00
[ [ "Linder", "Florian", "" ], [ "Tran-Gia", "Johannes", "" ], [ "Dahmen", "Silvio R.", "" ], [ "Hinrichsen", "Haye", "" ] ]
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802.1029
Tim Gorringe
V. Tishchenko, S. Battu, S. Cheekatmalla, D.B. Chitwood, S. Dhamija, T.P. Gorringe, F. Gray, K.R. Lynch, I. Logashenko, S. Rath, D.M. Webber
Data acquisition system for the MuLan muon lifetime experiment
19 pages, 8 figures, submitted to Nuclear Instruments and Methods A
Nucl.Instrum.Meth.A592:114-122,2008
10.1016/j.nima.2008.03.121
null
nucl-ex
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We describe the data acquisition system for the MuLan muon lifetime experiment at Paul Scherrer Institute. The system was designed to record muon decays at rates up to 1 MHz and acquire data at rates up to 60 MB/sec. The system employed a parallel network of dual-processor machines and repeating acquisition cycles of deadtime-free time segments in order to reach the design goals. The system incorporated a versatile scheme for control and diagnostics and a custom web interface for monitoring experimental conditions.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 17:54:33 GMT" } ]
2008-11-26T00:00:00
[ [ "Tishchenko", "V.", "" ], [ "Battu", "S.", "" ], [ "Cheekatmalla", "S.", "" ], [ "Chitwood", "D. B.", "" ], [ "Dhamija", "S.", "" ], [ "Gorringe", "T. P.", "" ], [ "Gray", "F.", "" ], [ "Lynch", "K. R.", "" ], [ "Logashenko", "I.", "" ], [ "Rath", "S.", "" ], [ "Webber", "D. M.", "" ] ]
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802.103
Mark Swain
Mark R. Swain, Gautam Vasisht, Giovanna Tinetti
Methane present in an extrasolar planet atmosphere
accepted for publication in Nature
null
null
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Molecules present in exoplanetary atmospheres are expected to strongly influence the atmospheric radiation balance, trace dynamical and chemical processes, and indicate the presence of disequilibrium effects. Since molecules have the potential to reveal the exoplanet atmospheric conditions and chemistry, searching for them is a high priority. The rotational-vibrational transition bands of water, carbon monoxide, and methane are anticipated to be the primary sources of non-continuum opacity in hot-Jovian planets. Since these bands overlap in wavelength, and the corresponding signatures from them are weak, decisive identification requires precision infrared spectroscopy. Here we report on a near-infrared transmission spectrum of the planet HD 189733b showing the presence of methane. Additionally, a resolved water-vapour band at 1.9 microns confirms the recent claim of water in this object. On thermochemical grounds, carbon-monoxide is expected to be abundant in the upper atmosphere of hot-Jovian exoplanets; thus the detection of methane rather than carbon-monoxide in such a hot planet could signal the presence of a horizontal chemical gradient away from the permanent dayside, or it may imply an ill-understood photochemical mechanisms that leads to an enhancement of methane.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 18:00:38 GMT" } ]
2008-02-08T00:00:00
[ [ "Swain", "Mark R.", "" ], [ "Vasisht", "Gautam", "" ], [ "Tinetti", "Giovanna", "" ] ]
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802.1031
Gabriel Bela Nagy
M. Holst, G. Nagy, G. Tsogtgerel
Far-from-constant mean curvature solutions of Einstein's constraint equations with positive Yamabe metrics
4 pages, no figures, accepted for publication in Physical Review Letters. (Abstract shortenned and other minor changes reflecting v4 version of arXiv:0712.0798)
Phys.Rev.Lett.100:161101,2008
10.1103/PhysRevLett.100.161101
null
gr-qc math.AP
null
In this article we develop some new existence results for the Einstein constraint equations using the Lichnerowicz-York conformal rescaling method. The mean extrinsic curvature is taken to be an arbitrary smooth function without restrictions on the size of its spatial derivatives, so that it can be arbitrarily far from constant. The rescaled background metric belongs to the positive Yamabe class, and the freely specifiable part of the data given by the traceless-transverse part of the rescaled extrinsic curvature and the matter fields are taken to be sufficiently small, with the matter energy density not identically zero. Using topological fixed-point arguments and global barrier constructions, we then establish existence of solutions to the constraints. Two recent advances in the analysis of the Einstein constraint equations make this result possible: A new type of topological fixed-point argument without smallness conditions on spatial derivatives of the mean extrinsic curvature, and a new construction of global super-solutions for the Hamiltonian constraint that is similarly free of such conditions on the mean extrinsic curvature. For clarity, we present our results only for strong solutions on closed manifolds. However, our results also hold for weak solutions and for other cases such as compact manifolds with boundary; these generalizations will appear elsewhere. The existence results presented here for the Einstein constraints are apparently the first such results that do not require smallness conditions on spatial derivatives of the mean extrinsic curvature.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 18:10:00 GMT" }, { "version": "v2", "created": "Fri, 8 Feb 2008 19:29:49 GMT" }, { "version": "v3", "created": "Sat, 12 Apr 2008 09:10:13 GMT" } ]
2010-01-13T00:00:00
[ [ "Holst", "M.", "" ], [ "Nagy", "G.", "" ], [ "Tsogtgerel", "G.", "" ] ]
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802.1032
Saibal Ray
Utpal Mukhopadhyay, P. C. Ray, Saibal Ray and S. B. Datta Choudhury
Generalized Model for $\Lambda$-Dark Energy
8 Latex pages
Int.J.Mod.Phys.D18:389-396,2009
10.1142/S021827180901456X
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Einstein field equations under spherically symmetric space-times are considered here in connection to dark energy investigation. A set of solutions are obtained for a kinematical $\Lambda$ model, viz., $\Lambda \sim (\dot a/a)^2$ without assuming any {\it a priori} value for the curvature constant and the equation of state parameter $\omega$. Some interesting results, such as the nature of cosmic density $\Omega$ and deceleration parameter $q$, have been obtained with the consideration of two-fluid structure instead of usual uni-fluid cosmological model.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 18:10:30 GMT" } ]
2009-05-12T00:00:00
[ [ "Mukhopadhyay", "Utpal", "" ], [ "Ray", "P. C.", "" ], [ "Ray", "Saibal", "" ], [ "Choudhury", "S. B. Datta", "" ] ]
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802.1033
Olivier Mousis
Olivier Mousis and Bernard Schmitt
Sequestration of ethane in the cryovolcanic subsurface of Titan
accepted for publication in Astrophysical Journal
null
10.1086/587141
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Saturn's largest satellite, Titan, has a thick atmosphere dominated by nitrogen and methane. The dense orange-brown smog hiding the satellite's surface is produced by photochemical reactions of methane, nitrogen and their dissociation products with solar ultraviolet, which lead primarily to the formation of ethane and heavier hydrocarbons. In the years prior to the exploration of Titan's surface by the Cassini-Huygens spacecraft, the production and condensation of ethane was expected to have formed a satellite-wide ocean one kilometer in depth, assuming that it was generated over the Solar system's lifetime. However, Cassini-Huygens observations failed to find any evidence of such an ocean. Here we describe the main cause of the ethane deficiency on Titan: cryovolcanic lavas regularly cover its surface, leading to the percolation of the liquid hydrocarbons through this porous material and its accumulation in subsurface layers built up during successive methane outgassing events. The liquid stored in the pores may, combined with the ice layers, form a stable ethane-rich clathrate reservoir, potentially isolated from the surface. Even with a low open porosity of 10% for the subsurface layers, a cryovolcanic icy crust less than 2300 m thick is required to bury all the liquid hydrocarbons generated over the Solar system's lifetime.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 18:16:11 GMT" } ]
2009-11-13T00:00:00
[ [ "Mousis", "Olivier", "" ], [ "Schmitt", "Bernard", "" ] ]
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802.1034
John Robinson
John M. Robinson
Physical limits on computation by assemblies of allosteric proteins
6 pages, 3 figures. 2 pages of supplemental information
null
10.1103/PhysRevLett.101.178104
null
cond-mat.soft cond-mat.stat-mech
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Assemblies of allosteric proteins, nano-scale Brownian computers, are the principle information processing devices in biology. The troponin C-troponin I (TnC-TnI) complex, the Ca$^{2+}$-sensitive regulatory switch of the heart, is a paradigm for Brownian computation. TnC and TnI specialize in sensing (reading) and reporting (writing) tasks of computation. We have examined this complex using a newly developed phenomenological model of allostery. Nearest-neighbor-limited interactions among members of the assembly place previously unrecognized constrains the topology of the system's free energy landscape and generate degenerate transition probabilities. As a result, signaling fidelity and deactivation kinetics can not be simultaneously optimized. This trade-off places an upper limit on the rate of information processing by assemblies of allosteric proteins that couple to a single ligand chemical bath.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 18:22:06 GMT" }, { "version": "v2", "created": "Thu, 22 May 2008 14:17:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Robinson", "John M.", "" ] ]
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802.1035
Romain Boulet
Romain Boulet (IMT), Bertrand Jouve (IMT)
The lollipop graph is determined by its spectrum
null
null
null
null
math.GM
null
An even (resp. odd) lollipop is the coalescence of a cycle of even (resp. odd) length and a path with pendant vertex as distinguished vertex. It is known that the odd lollipop is determined by its spectrum and the question is asked by W. Haemers, X. Liu and Y. Zhang for the even lollipop. We revisit the proof for odd lollipop, generalize it for even lollipop and therefore answer the question. Our proof is essentially based on a method of counting closed walks.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 18:22:58 GMT" } ]
2008-02-08T00:00:00
[ [ "Boulet", "Romain", "", "IMT" ], [ "Jouve", "Bertrand", "", "IMT" ] ]
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802.1036
Juan Martin Mombelli
Juan Martin Mombelli
Constructing dynamical twists over a non-abelian base
23 pages, to appear in Applied Categorical Structures
null
null
null
math.QA math.CT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We give examples of dynamical twists in finite-dimensional Hopf algebras over an arbitrary Hopf subalgebra. The construction is based on the categorical approach of dynamical twists introduced by Donin and Mudrov.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 18:33:20 GMT" }, { "version": "v2", "created": "Wed, 8 Oct 2008 12:56:04 GMT" } ]
2008-10-08T00:00:00
[ [ "Mombelli", "Juan Martin", "" ] ]
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802.1037
Donatas Narbutis
D. Narbutis (1), V. Vansevicius (1), K. Kodaira (2), A. Bridzius (1), R. Stonkute (1) ((1) Inst. of Physics, Lithuania, (2) The Graduate Univ. for Advanced Studies, Japan)
A Survey of Star Clusters in the M31 South-West Field. UBVRI Photometry and Multi-Band Maps
23 pages, 4 figures, 2 tables; full version of Table 2 included
Astrophys.J.Suppl.177:174-180,2008
10.1086/586736
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A new survey of star clusters in the South-West field of the M31 disk based on the high resolution Subaru Suprime-Cam observations is presented. The UBVRI aperture CCD photometry catalog of 285 objects (V < 20.5; 169 of them identified for the first time) is provided. Each object is supplemented with multi-band color maps presented in the electronic edition of the Astrophysical Journal Supplement. Seventy seven star cluster candidates from the catalog are located in the Hubble Space Telescope archive frames.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 19:24:26 GMT" }, { "version": "v2", "created": "Sun, 14 Jun 2009 23:56:32 GMT" } ]
2009-06-23T00:00:00
[ [ "Narbutis", "D.", "" ], [ "Vansevicius", "V.", "" ], [ "Kodaira", "K.", "" ], [ "Bridzius", "A.", "" ], [ "Stonkute", "R.", "" ] ]
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802.1038
Martin Andler
Martin Andler, Siddhartha Sahi
Equivariant cohomology and tensor categories
6 pages
null
null
null
math.QA math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose the notion of a supercategory as an alternative approach to supermathematics. We show that this setting is rich to carry out many of the basic constructions of supermathematics. We also prove generalizations of a number of results in equivariant cohomology, including the Chern-Weil theorem for an arbitrary rigid Lie algebra object. For a quadratic Lie algebra object we obtain a proof of the Duflo isomorphism along the lines of Alekseev-Meinrenken, thereby generalizing their result to Lie superalgebras.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 18:40:26 GMT" } ]
2008-02-08T00:00:00
[ [ "Andler", "Martin", "" ], [ "Sahi", "Siddhartha", "" ] ]
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802.1039
Stephane Vento
St\'ephane Vento (LAMA)
Well-posedness and ill-posedness results for dissipative Benjamin-Ono equations
null
null
null
null
math.AP
null
We study the Cauchy problem for the dissipative Benjamin-Ono equations $u_t+\H u_{xx}+|D|^\alpha u+uu_x=0$ with $0\leq\alpha\leq 2$. When $0\leq\alpha< 1$, we show the ill-posedness in $H^s(\R)$, $s\in\R$, in the sense that the flow map $u_0\mapsto u$ (if it exists) fails to be $\C^2$ at the origin. For $1<\alpha\leq 2$, we prove the global well-posedness in $H^s(\R)$, $s>-\alpha/4$. It turns out that this index is optimal.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 18:45:19 GMT" } ]
2008-02-08T00:00:00
[ [ "Vento", "Stéphane", "", "LAMA" ] ]
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802.104
Julien Sohier
Julien Sohier (PMA)
Finite size scaling for homogeneous pinning models
null
Latin American Journal of Probability and Mathematical Statistics 6,163-177 (2009)
null
null
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Pinning models are built from discrete renewal sequences by rewarding (or penalizing) the trajectories according to their number of renewal epochs up to time $N$, and $N$ is then sent to infinity. They are statistical mechanics models to which a lot of attention has been paid both because they are very relevant for applications and because of their {\sl exactly solvable character}, while displaying a non-trivial phase transition (in fact, a localization transition). The order of the transition depends on the tail of the inter-arrival law of the underlying renewal and the transition is continuous when such a tail is sufficiently heavy: this is the case on which we will focus. The main purpose of this work is to give a mathematical treatment of the {\sl finite size scaling limit} of pinning models, namely studying the limit (in law) of the process close to criticality when the system size is proportional to the correlation length.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 18:47:28 GMT" }, { "version": "v2", "created": "Tue, 7 Apr 2009 10:47:22 GMT" } ]
2015-02-27T00:00:00
[ [ "Sohier", "Julien", "", "PMA" ] ]
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802.1041
Christopher Walter
C.W. Walter
The Super-Kamiokande Experiment
Prepared for inclusion in "Neutrino Oscillations: Present Status and Future Plans", J. Thomas and P. Vahle editors, World Scientific Publishing Company, 2008. This version is 12 pages in REVTeX4 two-column format
null
10.1142/9789812771971_0002
null
hep-ex
null
Super-Kamiokande is a 50 kiloton water Cherenkov detector located at the Kamioka Observatory of the Institute for Cosmic Ray Research, University of Tokyo. It was designed to study neutrino oscillations and carry out searches for the decay of the nucleon. The Super-Kamiokande experiment began in 1996 and in the ensuing decade of running has produced extremely important results in the fields of atmospheric and solar neutrino oscillations, along with setting stringent limits on the decay of the nucleon and the existence of dark matter and astrophysical sources of neutrinos. Perhaps most crucially, Super-Kamiokande for the first time definitively showed that neutrinos have mass and undergo flavor oscillations. This chapter will summarize the published scientific output of the experiment with a particular emphasis on the atmospheric neutrino results.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 19:09:41 GMT" } ]
2016-11-23T00:00:00
[ [ "Walter", "C. W.", "" ] ]
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802.1042
Diego S\'aez
J. A. Morales and D. S\'aez
Large scale vector modes and the first CMB temperature multipoles
Accepted to ApJ, 31 pages including 2 tables and 8 color figures
null
10.1086/587025
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recent observations have pointed out various anomalies in some multipoles (small $\ell $) of the cosmic microwave background (CMB). In this paper, it is proved that some of these anomalies could be explained in the framework of a modified concordance model, in which, there is an appropriate distribution of vector perturbations with very large spatial scales. Vector modes are associated with divergenceless (vortical) velocity fields. Here, the generation of these modes is not studied in detail (it can be done "a posteriori"); on the contrary, we directly look for the distributions of these vector modes which lead to both alignments of the second and third multipoles and a planar octopole. A general three-dimensional (3D) superimposition of vector perturbations does not produce any alignment, but we have found rather general 2D superimpositions leading to anomalies similar to the observed ones; in these 2D cases, the angular velocity has the same direction at any point of an extended region and, moreover, this velocity has the same distribution in all the planes orthogonal to it. Differential rotations can be seen as particular cases, in which, the angular velocity only depends on the distance to a rotation axis. Our results strongly suggest that appropriate mixtures of scalar and vector modes with very large spatial scales could explain the observed CMB anomalies.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 18:55:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Morales", "J. A.", "" ], [ "Sáez", "D.", "" ] ]
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802.1043
Sheldon Stone
Jonathan L. Rosner and Sheldon Stone
Decay Constants of Charged Pseudoscalar Mesons
Requested as a mini-review for the Particle Data Group's 2008 edition; 7 pages 1 figure; 3/6/2008 fixed a few typos
null
null
EFI 08-03, SUHEP 08-03
hep-ex hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We review here the physics of purely leptonic decays of pi-, K-, D+, Ds+, and B- pseudoscalar mesons. The measured decay rates are related to the product of the relevant weak interaction based CKM matrix element of the constituent quarks and a strong interaction parameter related to the overlap of the quark and anti-quark wave-functions in the meson, called the decay constant fP. The interplay between theory and experiment is different for each particle. Theoretical predictions that are necessary in the B sector can be tested, for example, in the charm sector. One such measurement, that of fDs, differs from the most precise unquenched lattice calculation and may indicate the presence of new intermediate particles, or the theoretical prediction could be misleading. The lighter pi and K mesons provide stringent comparisons due to the accuracy of both the measurements and the theoretical predictions. This review was prepared for the Particle Data Group's 2008 edition.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 19:00:24 GMT" }, { "version": "v2", "created": "Wed, 5 Mar 2008 14:25:24 GMT" }, { "version": "v3", "created": "Sat, 7 Jun 2008 01:43:19 GMT" } ]
2008-06-07T00:00:00
[ [ "Rosner", "Jonathan L.", "" ], [ "Stone", "Sheldon", "" ] ]
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802.1044
Masanori Hamada
Masanori Hamada, Akira Nakanishi, Akira Goto and Masa-aki Ozaki
Symmetry Classes of Spin and Orbital Ordered States in a t_{2g} Hubbard Model on a Two-dimensional Square Lattice
46 pages with 4 figures
Prog. Theor. Phys. 121 (2009), 391
10.1143/PTP.121.391
null
cond-mat.str-el
null
This paper presents symmetry classes of the Hartree-Fock (HF) solutions of spin and orbital ordered states in a t_{2g} Hubbard model on a two-dimensional square lattice. Using a group theoretical bifurcation theory of the Hartree Fock equation, we obtained many types of broken symmetry solutions which bifurcate from the normal state through one step transition in cases of commensurate ordering vectors Q_0=(0,0), Q_1=(\pi,\pi), Q_2=(\pi,0) and Q_3=(0,\pi). Each broken symmetry state is characterized by the presence of local order parameters(LOP) at each lattice site: quadrupole moment Q=(Q_2^2,Q_{12},Q_{23},Q_{31}), orbital angular momentum l=(l_1,l_2,l_3), spin density s=(s^1,s^2,s^3), spin quadrupole moment Q^{\lambda}=(Q_2^{2\lambda}, Q_{12}^{\lambda},Q_{23}^{\lambda},Q_{31}^{\lambda}) and spin orbital angular momentum l^{\lambda}=(l_1^{\lambda},l_2^{\lambda},l_3^{\lambda}) where \lambda=1,2,3. We performed numerical calculations for some parameter sets. Then we have found that many types of non-collinear magnetic orbital ordered states having LOP:Q^{\lambda} and l^{\lambda} can be the ground state for these parameter sets.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 19:03:35 GMT" }, { "version": "v2", "created": "Mon, 11 Feb 2008 01:24:18 GMT" } ]
2009-03-20T00:00:00
[ [ "Hamada", "Masanori", "" ], [ "Nakanishi", "Akira", "" ], [ "Goto", "Akira", "" ], [ "Ozaki", "Masa-aki", "" ] ]
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802.1045
Ivo Saviane
Ivo Saviane (1), Yazan Momany (2), Gary S. Da Costa (3), R. Michael Rich (4), John Hibbard (5) ((1) ESO, Santiago, Chile, (2) Astronomical Observatory, Padova, Italy, (3)RSAA, ANU, Australia, (4) Physics and Astronomy Department, UCLA, USA, (5) NRAO, Charlottesville, USA)
A new red giant-based distance modulus of 13.3 Mpc to the Antennae galaxies and its consequences
11 pages, 3 figures, accepted for publication in the ApJ
null
10.1086/533408
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Antennae galaxies are the closest example of an ongoing major galaxy merger, and thereby represent a unique laboratory for furthering the understanding of the formation of exotic objects (e.g., tidal dwarf galaxies, ultra-luminous X-ray sources, super-stellar clusters, etc). In a previous paper HST/WFPC2 observations were used to demonstrate that the Antennae system might be at a distance considerably less than that conventionally assumed in the literature. Here we report new, much deeper HST/ACS imaging that resolves the composite stellar populations, and most importantly, reveals a well-defined red giant branch. The tip of this red giant branch (TRGB) is unambiguously detected at Io(TRGB)=26.65 +/- 0.09 mag. Adopting the most recent calibration of the luminosity of the TRGB then yields a distance modulus for the Antennae of (m-M)o= 30.62 +/- 0.17 corresponding to a distance of 13.3 +/- 1.0 Mpc. This is consistent with our earlier result, once the different calibrations for the standard candle are considered. We briefly discuss the implications of this now well determined shorter distance.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 19:08:56 GMT" } ]
2009-11-13T00:00:00
[ [ "Saviane", "Ivo", "" ], [ "Momany", "Yazan", "" ], [ "Da Costa", "Gary S.", "" ], [ "Rich", "R. Michael", "" ], [ "Hibbard", "John", "" ] ]
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802.1046
Alex Arenas
Alexandre Chorin
Monte Carlo without Chains
17 pages; 2 figures
null
null
null
math.NA cond-mat.dis-nn physics.comp-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A sampling method for spin systems is presented. The spin lattice is written as the union of a nested sequence of sublattices, all but the last with conditionally independent spins, which are sampled in succession using their marginals. The marginals are computed concurrently by a fast algorithm; errors in the evaluation of the marginals are offset by weights. There are no Markov chains and each sample is independent of the previous ones; the cost of a sample is proportional to the number of spins (but the number of samples needed for good statistics may grow with array size). The examples include the Edwards-Anderson spin glass in three dimensions.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 19:16:45 GMT" } ]
2008-02-09T00:00:00
[ [ "Chorin", "Alexandre", "" ] ]
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802.1047
Mohammed Debbarh
Mohammed Debbarh and Vivian Viallon
Testing additivity in nonparametric regression under random censorship
null
null
null
null
math.ST stat.TH
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we are concerned with nonparametric estimation of the multivariate regression function in the presence of right censored data. More precisely, we propose a statistic that is shown to be asymptotically normally distributed under the additive assumption, and that could be used to test for additivity in the censored regression setting.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 19:18:45 GMT" } ]
2008-02-08T00:00:00
[ [ "Debbarh", "Mohammed", "" ], [ "Viallon", "Vivian", "" ] ]
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802.1048
Todd Adams
T. Adams (Florida State University)
Searches for Long-lived Particles at the Tevatron Collider
submitted to Mod. Phys. Lett. A
Mod.Phys.Lett.A23:371-385,2008
10.1142/S0217732308026467
null
hep-ex
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Several searches for long-lived particles have been performed using data from p-pbar collisions from Run II at the Tevatron. In most cases, new analysis techniques have been developed to carry out each search and/or estimate the backgrounds. These searches expand the discovery potential of the CDF and D0 experiments to new physics that may have been missed by traditional search techniques. This review discusses searches for (1) neutral, long-lived particles decaying to muons, (2) massive, neutral, long-lived particles decaying to a photon and missing energy, (3) stopped gluinos, and (4) charged massive stable particles. It summarizes some of the theoretical and experimental motivations for such searches.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 19:20:39 GMT" } ]
2008-11-26T00:00:00
[ [ "Adams", "T.", "", "Florida State University" ] ]
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802.1049
Ivan Cheltsov
Ivan Cheltsov, Ilya Karzhemanov
Halphen pencils on quartic threefolds
20 pages
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
For every smooth quartic threefold, we classify all pencils on it whose general element is an irreducible surface birational to a smooth surface of Kodaira dimension zero.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 19:29:51 GMT" }, { "version": "v2", "created": "Thu, 7 Feb 2008 22:34:53 GMT" }, { "version": "v3", "created": "Wed, 9 Sep 2009 14:47:04 GMT" }, { "version": "v4", "created": "Sat, 26 Sep 2009 07:15:03 GMT" } ]
2009-09-26T00:00:00
[ [ "Cheltsov", "Ivan", "" ], [ "Karzhemanov", "Ilya", "" ] ]
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802.105
Kalliopi Maria Dasyra
Kalliopi M. Dasyra, Lin Yan, George Helou, Jason Surace, Anna Sajina, James Colbert
HST NICMOS imaging of z~2, 24 micron-selected Ultraluminous Infrared Galaxies
ApJ, in press. Document revised to match the journal version
null
10.1086/587447
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present Hubble Space Telescope NICMOS H-band imaging of 33 Ultraluminous Infrared Galaxies (ULIRGs) at z~2 that were selected from the 24 micron catalog of the Spitzer Extragalactic First Look Survey. The images reveal that at least 17 of the 33 objects are associated with interactions. Up to one fifth of the sources in our sample could be minor mergers whereas only 2 systems are merging binaries with luminosity ratio <=3:1, which is characteristic of local ULIRGs. The rest-frame optical luminosities of the sources are of the order 10^10-10^11 L_sun and their effective radii range from 1.4 to 4.9 kpc. The most compact sources are either those with a strong active nucleus continuum or those with a heavy obscuration in the mid-infrared regime, as determined from Spitzer Infra-Red Spectrograph data. The luminosity of the 7.7 micron feature produced by polycyclic aromatic hydrocarbon molecules varies significantly among compact systems whereas it is typically large for extended systems. A bulge-to-disk decomposition performed for the 6 brightest (m_H<20) sources in our sample indicates that they are best fit by disk-like profiles with small or negligible bulges, unlike the bulge-dominated remnants of local ULIRGs. Our results provide evidence that the interactions associated with ultraluminous infrared activity at z~2 can differ from those at z~0.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 19:40:56 GMT" }, { "version": "v2", "created": "Wed, 14 May 2008 16:39:25 GMT" } ]
2009-11-13T00:00:00
[ [ "Dasyra", "Kalliopi M.", "" ], [ "Yan", "Lin", "" ], [ "Helou", "George", "" ], [ "Surace", "Jason", "" ], [ "Sajina", "Anna", "" ], [ "Colbert", "James", "" ] ]
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802.1051
Chris Brook
Chris B. Brook, Fabio Governato, Thomas Quinn, James Wadsley, Alyson M. Brooks, Beth Willman, Adrienne Stilp, Patrik Jonsson
The Formation of Polar Disk Galaxies
Submitted to ApJ. 8 pages in emulate ApJ style. 2 associated animations are found at: http://www.youtube.com/watch?v=c-H3WzaewdY http://www.youtube.com/watch?v=9Xf3fJkgWEg
null
10.1086/591489
null
astro-ph
null
Polar Ring Galaxies, such as NGC4650A, are a class of galaxy which have two kinematically distinct components that are inclined by almost 90 degrees to each other. These striking galaxies challenge our understanding of how galaxies form; the origin of their distinct components has remained uncertain, and the subject of much debate. We use high-resolution cosmological simulations of galaxy formation to show that Polar Ring Galaxies are simply an extreme example of the angular moment misalignment that occurs during the hierarchical structure formation characteristic of Cold Dark Matter cosmology. In our model, Polar Ring Galaxies form through the continuous accretion of gas whose angular momentum is misaligned with the central galaxy.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 19:42:36 GMT" }, { "version": "v2", "created": "Fri, 8 Feb 2008 18:34:07 GMT" }, { "version": "v3", "created": "Fri, 8 Feb 2008 23:47:53 GMT" } ]
2009-11-13T00:00:00
[ [ "Brook", "Chris B.", "" ], [ "Governato", "Fabio", "" ], [ "Quinn", "Thomas", "" ], [ "Wadsley", "James", "" ], [ "Brooks", "Alyson M.", "" ], [ "Willman", "Beth", "" ], [ "Stilp", "Adrienne", "" ], [ "Jonsson", "Patrik", "" ] ]
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802.1052
Yuri Matiyasevich
Yuri Matiyasevich, Julia Robinson
Two universal 3-quantifier representations of recursively enumerable sets
This is English translation of a paper originally published in Russian; several misprints were corrected
Teoriya Algorifmov i Matematicheskaya Logika (a collection of papers dedicated to A.A.Markov), Vychislitel'nyi Tsentr Akademii Nauk SSSR, Moscow, 1974, pages 112--123
null
null
math.LO
null
It is proved that all recursively enumerable sets of natural numbers can be represented by arithmetic formulas (of two kinds) with only 3 quantifiers.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 20:07:21 GMT" } ]
2008-02-08T00:00:00
[ [ "Matiyasevich", "Yuri", "" ], [ "Robinson", "Julia", "" ] ]
[ -0.0240717605, 0.0544832125, -0.0143477228, -0.0121073807, 0.085752666, -0.0433053337, 0.0315316208, 0.0542448759, -0.0658755898, 0.0182802379, 0.0238453429, -0.1913347393, -0.0034975552, 0.0681635961, 0.0768866315, -0.03298546, 0.0336527973, -0.0372993127, 0.0600125678, 0.1061064154, 0.0151342256, -0.01783932, 0.0390629843, -0.0273131058, 0.114114441, -0.0344631337, -0.0097121214, 0.020568246, 0.032151293, -0.0594882295, 0.0194361582, -0.079651311, -0.1139237732, 0.0265504364, -0.0367273092, 0.0260022674, -0.0911390185, 0.0331046283, -0.0763146281, 0.0176009852, 0.0177916531, 0.0385386497, -0.0449021757, -0.0899473503, -0.0174103174, 0.072739616, -0.0404929891, -0.0217480008, -0.0229754224, 0.0171362329, -0.0246675964, 0.0510035306, 0.0289337784, 0.0216407515, 0.0164450631, -0.0067448597, -0.0638735816, 0.0711666122, 0.0391344838, -0.1322278529, 0.0306736194, -0.1205018014, -0.0128819663, 0.052910205, -0.0833693221, 0.0990517214, 0.032437291, -0.0029970533, 0.0341532975, -0.0066018589, -0.1253638268, 0.0707852766, 0.1400452107, 0.0691646039, 0.1086804196, 0.0319129564, -0.0606799014, 0.1074410826, -0.071929276, 0.0217241682, 0.0331522971, -0.0013302031, 0.0094320783, -0.0407551602, -0.0165165644, 0.0512895323, 0.0633969158, 0.0429478325, -0.0165284816, -0.0557225496, -0.0603938997, -0.0660662577, 0.0520522036, -0.0469041839, 0.0715479478, -0.0919016898, 0.1181184575, 0.0321274586, 0.0033337004, -0.0250250977, -0.0678299293, -0.0315792896, -0.0415178277, -0.02991095, 0.120597139, 0.1376618743, 0.013716137, -0.0024488845, -0.0819869861, -0.1002910584, -0.0498118587, -0.0417561606, -0.0025576246, -0.0105939582, 0.0418991633, -0.0046683722, -0.1271751672, 0.0619669072, -0.0213904995, -0.0189952403, 0.0881360099, -0.0891370103, 0.1156397834, -0.0036316183, 0.1436678916, -0.0114519615, 0.0129773002, -0.0405644923, -0.0567235537, 0.1166884527, 0.0857049972, 0.0751229599, 0.0337481312, 0.0053386874, -0.0307689533, -0.0770772994, 0.0272654388, -0.0260499343, -0.0199724101, 0.0495258607, 0.0822729841, -0.023154173, -0.0199962445, 0.0314362906, -0.0567235537, 0.0081391148, -0.0548168793, -0.0614425726, 0.0603938997, -0.0632539093, -0.0397064872, -0.107059747, -0.0638259128, -0.019877078, -0.0167548992, -0.0559132174, -0.0194004085, -0.0273846071, 0.1096337587, -0.021414334, 0.0144549729, 0.0447353423, -0.0593928993, 0.0137518868, 0.0852760002, 0.0403738245, -0.0818439871, -0.0376806483, -0.0978123769, -0.0475238524, 0.0259784348, -0.0285047777, -0.1095384285, -0.1155444458, -0.0255494323, -0.0070785275, -0.0371324793, 0.03298546, -0.0451166742, 0.015301059, 0.038800817, 0.0169574823, -0.0630632415, -0.0589162298, 0.1324185133, 0.0104449987, 0.0761716291, -0.0899473503, 0.0681159347, -0.0551505461, -0.0536252074, 0.0834169909, 0.1112544313, 0.1545359343, 0.1324185133, -0.1376618743, -0.0038342024, 0.0279089417, 0.0155751435, -0.0762669668, -0.0074181538, 0.0672102645, 0.113828443, -0.0009473787, 0.0277659409, -0.0686402693, 0.0750276223, -0.0506698638, -0.1578726172, -0.0383718163, -0.0076684048, -0.0473331846, -0.0513848662, 0.0783643052, -0.0138948876, 0.0583442263, 0.0062205242, 0.0364413075, -0.0380858146, 0.1413798779, -0.084227331, 0.0036316183, 0.0129534667, -0.0497641936, -0.069021605, 0.01033179, -0.0174222346, 0.0591545627, 0.0304829516, -0.0215692502, 0.0357501395, 0.000239079, -0.0806046501, 0.0049126651, -0.0771726295, 0.0592498966, 0.037609145, -0.048191186, -0.1041997373, -0.0639689118, 0.0205563307, 0.0215930846, -0.0555795506, 0.0440918393, 0.0399924889, -0.0482865199, -0.0357263051, 0.039754156, -0.0898043513, -0.0513848662, -0.0067210263, -0.0141213052, -0.0299586169, 0.0044866423, -0.0385148153, 0.0536728762 ]
802.1053
Massimo Giovannini
Massimo Giovannini, Kerstin E. Kunze
Generalized CMB initial conditions with pre-equality magnetic fields
28 pages, 24 included figures in eps style
Phys.Rev.D77:123001,2008
10.1103/PhysRevD.77.123001
CERN-TH-PH/2008-021
astro-ph gr-qc hep-ex hep-ph hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The most general initial conditions of CMB anisotropies, compatible with the presence of pre-equality magnetic fields, are derived. When the plasma is composed by photons, baryons, electrons, CDM particles and neutrinos, the initial data of the truncated Einstein-Boltzmann hierarchy contemplate one magnetized adiabatic mode and four (magnetized) non-adiabatic modes. After obtaining the analytical form of the various solutions, the Einstein-Boltzmann hierarchy is numerically integrated for the corresponding sets of initial data. The TT, TE and EE angular power spectra are illustrated and discussed for the magnetized generalization of the CDM-radiation mode, of the baryon-radiation mode and of the non-adiabatic mode of the neutrino sector. Mixtures of initial conditions are examined by requiring that the magnetized adiabatic mode dominates over the remaining non-adiabatic contributions. In the latter case, possible degeneracies between complementary sets of initial data might be avoided through the combined analysis of the TT, TE and EE angular power spectra at high multipoles (i.e. $\ell >1000$).
[ { "version": "v1", "created": "Thu, 7 Feb 2008 19:54:38 GMT" } ]
2008-11-26T00:00:00
[ [ "Giovannini", "Massimo", "" ], [ "Kunze", "Kerstin E.", "" ] ]
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802.1054
Andrea De Martino
Damien Challet, Andrea De Martino, Matteo Marsili
Dynamical instabilities in a simple minority game with discounting
8 pages
null
10.1088/1742-5468/2008/04/L04004
null
physics.soc-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We explore the effect of discounting and experimentation in a simple model of interacting adaptive agents. Agents belong to either of two types and each has to decide whether to participate a game or not, the game being profitable when there is an excess of players of the other type. We find the emergence of large fluctuations as a result of the onset of a dynamical instability which may arise discontinuously (increasing the discount factor) or continuously (decreasing the experimentation rate). The phase diagram is characterized in detail and noise amplification close to a bifurcation point is identified as the physical mechanism behind the instability.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 19:58:40 GMT" } ]
2009-11-13T00:00:00
[ [ "Challet", "Damien", "" ], [ "De Martino", "Andrea", "" ], [ "Marsili", "Matteo", "" ] ]
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802.1055
Reuven Cohen
Reuven Cohen, Daryush Jonathan Dawid, Mehran Kardar and Yaneer Bar-Yam
Unusual percolation in simple small-world networks
10 pages, 4 figures, revtex4
Phys. Rev. E 79, 066112 (2009)
10.1103/PhysRevE.79.066112
null
cond-mat.dis-nn cond-mat.stat-mech
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present an exact solution of percolation in a generalized class of Watts-Strogatz graphs defined on a 1-dimensional underlying lattice. We find a non-classical critical point in the limit of the number of long-range bonds in the system going to zero, with a discontinuity in the percolation probability and a divergence in the mean finite-cluster size. We show that the critical behavior falls into one of three regimes depending on the proportion of occupied long-range to unoccupied nearest-neighbor bonds, with each regime being characterized by different critical exponents. The three regimes can be united by a single scaling function around the critical point. These results can be used to identify the number of long-range links necessary to secure connectivity in a communication or transportation chain. As an example, we can resolve the communication problem in a game of "telephone".
[ { "version": "v1", "created": "Thu, 7 Feb 2008 19:59:36 GMT" } ]
2009-11-17T00:00:00
[ [ "Cohen", "Reuven", "" ], [ "Dawid", "Daryush Jonathan", "" ], [ "Kardar", "Mehran", "" ], [ "Bar-Yam", "Yaneer", "" ] ]
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802.1056
Miloje M. Rakocevic
Miloje M. Rakocevic
Genetic Code: Four-Codon and Non-Four-Codon Degeneracy
The 18 Pages, 16 Tables, 1 Figure and 5 Surveys. The paper represents a step within further investigations of harmonic structure of the genetic code (Rakocevic, 2004)
null
null
null
q-bio.BM q-bio.GN
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this work it is shown that 20 canonical amino acids (AAs) within genetic code appear to be a whole system with strict distinction in Genetic Code Table (GCT) into some different quantums: 20, 23, 61 amino acid molecules. These molecules distinction is followed by specific balanced atom number and/or nucleon number distinctions within those molecules. In this second version two appendices are added; also a new version of Periodic system of numbers, whose first verson is given in arXiv:1107.1998 [q-bio.OT].
[ { "version": "v1", "created": "Thu, 7 Feb 2008 20:00:52 GMT" }, { "version": "v2", "created": "Fri, 20 Sep 2019 12:23:53 GMT" } ]
2019-09-23T00:00:00
[ [ "Rakocevic", "Miloje M.", "" ] ]
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802.1057
Eivind T{\o}stesen
Eivind T{\o}stesen
A stitch in time: Efficient computation of genomic DNA melting bubbles
16 pages, 10 figures
Algorithms for Molecular Biology 2008, 3:10
10.1186/1748-7188-3-10
null
q-bio.BM q-bio.GN
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Background: It is of biological interest to make genome-wide predictions of the locations of DNA melting bubbles using statistical mechanics models. Computationally, this poses the challenge that a generic search through all combinations of bubble starts and ends is quadratic. Results: An efficient algorithm is described, which shows that the time complexity of the task is O(NlogN) rather than quadratic. The algorithm exploits that bubble lengths may be limited, but without a prior assumption of a maximal bubble length. No approximations, such as windowing, have been introduced to reduce the time complexity. More than just finding the bubbles, the algorithm produces a stitch profile, which is a probabilistic graphical model of bubbles and helical regions. The algorithm applies a probability peak finding method based on a hierarchical analysis of the energy barriers in the Poland-Scheraga model. Conclusions: Exact and fast computation of genomic stitch profiles is thus feasible. Sequences of several megabases have been computed, only limited by computer memory. Possible applications are the genome-wide comparisons of bubbles with promotors, TSS, viral integration sites, and other melting-related regions.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 20:14:46 GMT" } ]
2008-07-19T00:00:00
[ [ "Tøstesen", "Eivind", "" ] ]
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802.1058
Eran Nevo
Eric Babson and Eran Nevo
Lefschetz Properties and Basic Constructions on Simplicial Spheres
18 pages, no figures
null
null
null
math.CO math.AC
null
The well known $g$-conjecture for homology spheres follows from the stronger conjecture that the face ring over the reals of a homology sphere, modulo a linear system of parameters, admits the strong-Lefschetz property. We prove that the strong-Lefschetz property is preserved under the following constructions on homology spheres: join, connected sum, and stellar subdivisions. The last construction is a step towards proving the $g$-conjecture for piecewise-linear spheres.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 20:35:07 GMT" } ]
2008-02-08T00:00:00
[ [ "Babson", "Eric", "" ], [ "Nevo", "Eran", "" ] ]
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802.1059
Tobias Friedrich
Deepak Ajwani, Tobias Friedrich
Average-Case Analysis of Online Topological Ordering
22 pages, long version of ISAAC'07 paper
null
null
null
cs.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Many applications like pointer analysis and incremental compilation require maintaining a topological ordering of the nodes of a directed acyclic graph (DAG) under dynamic updates. All known algorithms for this problem are either only analyzed for worst-case insertion sequences or only evaluated experimentally on random DAGs. We present the first average-case analysis of online topological ordering algorithms. We prove an expected runtime of O(n^2 polylog(n)) under insertion of the edges of a complete DAG in a random order for the algorithms of Alpern et al. (SODA, 1990), Katriel and Bodlaender (TALG, 2006), and Pearce and Kelly (JEA, 2006). This is much less than the best known worst-case bound O(n^{2.75}) for this problem.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 20:27:17 GMT" } ]
2008-02-08T00:00:00
[ [ "Ajwani", "Deepak", "" ], [ "Friedrich", "Tobias", "" ] ]
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802.106
Jungkai Alfred Chen
Jungkai A. Chen and Christopher D. Hacon
On Ueno's Conjecture K
null
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that if $X$ is a smooth complex projective variety with Kodaira dimension $0$ then the Kodaira dimension of a general fiber of its Albanese map is at most $h^0(\Omega ^1 _X)$.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 20:34:34 GMT" } ]
2008-02-08T00:00:00
[ [ "Chen", "Jungkai A.", "" ], [ "Hacon", "Christopher D.", "" ] ]
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802.1061
Carlos Luis Schat
Ezequiel Alvarez, Leandro Da Rold, Carlos Schat, Alejandro Szynkman
Electroweak precision constraints on the Lee-Wick Standard Model
24 pages, 7 figures
JHEP0804:026,2008
10.1088/1126-6708/2008/04/026
null
hep-ph hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We perform an analysis of the electroweak precision observables in the Lee-Wick Standard Model. The most stringent restrictions come from the S and T parameters that receive important tree level and one loop contributions. In general the model predicts a large positive S and a negative T. To reproduce the electroweak data, if all the Lee-Wick masses are of the same order, the Lee-Wick scale is of order 5 TeV. We show that it is possible to find some regions in the parameter space with a fermionic state as light as 2.4-3.5 TeV, at the price of rising all the other masses to be larger than 5-8 TeV. To obtain a light Higgs with such heavy resonances a fine-tuning of order a few per cent, at least, is needed. We also propose a simple extension of the model including a fourth generation of Standard Model fermions with their Lee-Wick partners. We show that in this case it is possible to pass the electroweak constraints with Lee-Wick fermionic masses of order 0.4-1.5 TeV and Lee-Wick gauge masses of order 3 TeV.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 20:38:51 GMT" } ]
2008-11-26T00:00:00
[ [ "Alvarez", "Ezequiel", "" ], [ "Da Rold", "Leandro", "" ], [ "Schat", "Carlos", "" ], [ "Szynkman", "Alejandro", "" ] ]
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802.1062
Francesco Malaspina
Francesco Malaspina
A Few Splitting Criteria for Vector Bundles
9 pages, no figures
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove a few splitting criteria for vector bundles on a quadric hypersurface and Grassmannians. We give also some cohomological splitting conditions for rank 2 bundles on multiprojective spaces. The tools are monads and a Beilinson's type spectral sequence generalized by Costa and Mir\'o-Roig.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 20:44:09 GMT" } ]
2008-02-08T00:00:00
[ [ "Malaspina", "Francesco", "" ] ]
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802.1063
Evgeny Shapiro
Moshe Shapiro
Derivation of the relativistic "proper-time" quantum evolution equations from Canonical Invariance
J. Phys. A, accepted for publication
null
10.1088/1751-8113/41/17/175303
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Based on 1) the spectral resolution of the energy operator; 2) the linearity of correspondence between physical observables and quantum Hermitian operators; 3) the definition of conjugate coordinate-momentum variables in classical mechanics; and 4) the fact that the physical point in phase space remains unchanged under (canonical) transformations between one pair of conjugate variables to another, we are able to show that <t_s|E_s>, the proper-time rest-energy transformation matrices, are given as a*exp[-iE_s t_s/\hbar], from which we obtain the proper-time rest -energy evolution equation i\hbar{\partial/\partial t_s} |Psi>= \hat{E_s}|Psi>. For special relativistic situations this equation can be reduced to the usual i\hbar{\partial/\partial t}|Psi>=\hat{E}|Psi> dynamical equations, where t is the "reference time" and E is the total energy. Extension of these equations to accelerating frames is then provided.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 20:48:58 GMT" }, { "version": "v2", "created": "Mon, 10 Mar 2008 18:20:40 GMT" } ]
2015-05-13T00:00:00
[ [ "Shapiro", "Moshe", "" ] ]
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802.1064
Constantine Yannouleas
Leslie O. Baksmaty, Constantine Yannouleas, Uzi Landman
Nonuniversal transmission phase lapses through a quantum dot: An exact-diagonalization of the many-body transport problem
Published version. REVTEX4. 4 pages with 3 color figures. For related papers, see http://www.prism.gatech.edu/~ph274cy/
Phys. Rev. Lett. 101, 136803 (2008)
10.1103/PhysRevLett.101.136803
null
cond-mat.mes-hall cond-mat.str-el
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Systematic trends of nonuniversal behavior of electron transmission phases through a quantum dot, with no phase lapse for the transition N=1 -> N=2 and a lapse of pi for the N=2 -> N=3 transition, are predicted, in agreement with experiments, from many-body transport calculations involving exact diagonalization of the dot Hamiltonian. The results favor shape anisotropy of the dot and strong e-e repulsion with consequent electron localization, showing dependence on spin configurations and the participation of excited doorway transmission channels.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 20:57:53 GMT" }, { "version": "v2", "created": "Thu, 25 Sep 2008 17:35:57 GMT" } ]
2008-09-25T00:00:00
[ [ "Baksmaty", "Leslie O.", "" ], [ "Yannouleas", "Constantine", "" ], [ "Landman", "Uzi", "" ] ]
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802.1065
Jinwu Ye
Jinwu Ye, T. Shi, Longhua Jiang and C. P. Sun
Quantum radiations from exciton condensate in Electron-Hole Bilayer Systems
REVTEX4, 18 colour figures, 27 PRBpages
null
null
null
cond-mat.mtrl-sci cond-mat.mes-hall physics.optics quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Superfluid has been realized in Helium-4, Helium-3 and ultra-cold atoms. It has been widely used in making high-precision devices and also in cooling various systems. There have been extensive experimental search for possible exciton superfluid (ESF) in semiconductor electron-hole bilayer (EHBL) systems below liquid Helium temperature. However, exciton superfluid are meta-stable and will eventually decay through emitting photons. Here we study quantum nature of photons emitted from the excitonic superfluid (ESF) phase in the semiconductor EHBL and find that the light emitted from the excitonic superfluid has unique and unusual features not shared by any other atomic or condensed matter systems. We show that the emitted photons along the direction perpendicular to the layer are in a coherent state, those along all tilted directions are in a two modes squeezed state. We determine the two mode squeezing spectra, the angle resolved power spectrum, the line shapes of both the momentum distribution curve (MDC) and the energy distribution curve (EDC). From the two photon correlation functions, we find there are photon bunching, the photo-count statistics is super-Poissonian. We discuss how several important parameters such as the chemical potential, the exciton decay rate, the quasiparticle energy spectrum and the dipole-dipole interaction strength between the excitons in our theory can be extracted from the experimental data and comment on available experimental data on both EDC and MDC.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 20:48:11 GMT" }, { "version": "v2", "created": "Mon, 11 Feb 2008 20:43:37 GMT" }, { "version": "v3", "created": "Thu, 10 Apr 2008 14:59:10 GMT" }, { "version": "v4", "created": "Mon, 13 Apr 2009 20:53:45 GMT" }, { "version": "v5", "created": "Fri, 10 Jul 2009 16:54:56 GMT" } ]
2009-07-10T00:00:00
[ [ "Ye", "Jinwu", "" ], [ "Shi", "T.", "" ], [ "Jiang", "Longhua", "" ], [ "Sun", "C. P.", "" ] ]
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802.1066
Kevin Beach
K. S. D. Beach and F. F. Assaad
Coherence and metamagnetism in the two-dimensional Kondo lattice model
8 pages, 6 figures
Phys. Rev. B 77, 205123 (2008)
10.1103/PhysRevB.77.205123
null
cond-mat.str-el
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We report the results of dynamical mean field calculations for the metallic Kondo lattice model subject to an applied magnetic field. High-quality spectral functions reveal that the picture of rigid, hybridized bands, Zeeman-shifted in proportion to the field strength, is qualitatively correct. We find evidence of a zero-temperature magnetization plateau, whose onset coincides with the chemical potential entering the spin up hybridization gap. The plateau appears at the field scale predicted by (static) large-N mean field theory and has a magnetization value consistent with that of x=1-n_c spin-polarized heavy holes, where n_c < 1 is the conduction band filling of the noninteracting system. We argue that the emergence of the plateau at low temperature marks the onset of quasiparticle coherence.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 21:00:02 GMT" } ]
2008-06-03T00:00:00
[ [ "Beach", "K. S. D.", "" ], [ "Assaad", "F. F.", "" ] ]
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802.1067
Leonardo Senatore
Paolo Creminelli (ICTP, Trieste), Sergei Dubovsky (Harvard U., Physics Dept., and Moscow, INR), Alberto Nicolis (Columbia U.), Leonardo Senatore (Harvard U., Physics Dept.), and Matias Zaldarriaga (Harvard U., Physics Dept., and Harvard-Smithsonian Ctr. Astrophys.)
The Phase Transition to Eternal Inflation
48 pages, 8 figures. v2: JHEP published version, shortened title, added references
JHEP 0809:036,2008
10.1088/1126-6708/2008/09/036
null
hep-th astro-ph gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
For slow-roll inflation we study the phase transition to the eternal regime. Starting from a finite inflationary volume, we consider the volume of the universe at reheating as order parameter. We show that there exists a critical value for the classical inflaton speed, \dot\phi^2/H^4 = 3/(2 \pi^2), where the probability distribution for the reheating volume undergoes a sharp transition. In particular, for sub-critical inflaton speeds all distribution moments become infinite. We show that at the same transition point the system develops a non-vanishing probability of having a strictly infinite reheating volume, while retaining a finite probability for finite values. Our analysis represents the exact quantum treatment of the system at lowest order in the slow-roll parameters and H^2/M_Pl^2.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 23:02:21 GMT" }, { "version": "v2", "created": "Sun, 21 Sep 2008 14:23:28 GMT" } ]
2009-12-15T00:00:00
[ [ "Creminelli", "Paolo", "", "ICTP, Trieste" ], [ "Dubovsky", "Sergei", "", "Harvard U., Physics\n Dept., and Moscow, INR" ], [ "Nicolis", "Alberto", "", "Columbia U." ], [ "Senatore", "Leonardo", "", "Harvard U., Physics Dept." ], [ "Zaldarriaga", "Matias", "", "Harvard U., Physics\n Dept., and Harvard-Smithsonian Ctr. Astrophys." ] ]
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802.1068
Scott Daniel
Scott F. Daniel, Robert R. Caldwell, Asantha Cooray, Alessandro Melchiorri
Large Scale Structure as a Probe of Gravitational Slip
12 pages, 16 figures
Phys.Rev.D77:103513,2008
10.1103/PhysRevD.77.103513
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A new time-dependent, scale-independent parameter, \varpi, is employed in a phenomenological model of the deviation from General Relativity in which the Newtonian and longitudinal gravitational potentials slip apart on cosmological scales as dark energy, assumed to be arising from a new theory of gravitation, appears to dominate the universe. A comparison is presented between \varpi and other parameterized post-Friedmannian models in the literature. The effect of \varpi on the cosmic microwave background anisotropy spectrum, the growth of large scale structure, the galaxy weak-lensing correlation function, and cross-correlations of cosmic microwave background anisotropy with galaxy clustering are illustrated. Cosmological models with conventional maximum likelihood parameters are shown to find agreement with a narrow range of gravitational slip.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 21:09:18 GMT" } ]
2008-11-26T00:00:00
[ [ "Daniel", "Scott F.", "" ], [ "Caldwell", "Robert R.", "" ], [ "Cooray", "Asantha", "" ], [ "Melchiorri", "Alessandro", "" ] ]
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802.1069
Eli Rykoff
E. S. Rykoff (UCSB), A. E. Evrard, T. A. McKay (U. Michigan), M. R. Becker (U. Chicago), D. E. Johnston (JPL), B. P. Koester (U. Chicago), B. Nord (U. Michigan), E. Rozo (OSU), E. S. Sheldon (NYU), R. Stanek (U. Michigan), R. H. Wechsler (Stanford)
The L_X--M relation of Clusters of Galaxies
5 pages, 1 figure, MNRAS accepted
null
10.1111/j.1745-3933.2008.00476.x
null
astro-ph
null
We present a new measurement of the scaling relation between X-ray luminosity and total mass for 17,000 galaxy clusters in the maxBCG cluster sample. Stacking sub-samples within fixed ranges of optical richness, N_200, we measure the mean 0.1-2.4 keV X-ray luminosity, <L_X>, from the ROSAT All-Sky Survey. The mean mass, <M_200>, is measured from weak gravitational lensing of SDSS background galaxies (Johnston et al. 2007). For 9 <= N_200 < 200, the data are well fit by a power-law, <L_X>/10^42 h^-2 erg/s = (12.6+1.4-1.3 (stat) +/- 1.6 (sys)) (<M_200>/10^14 h^-1 M_sun)^1.65+/-0.13. The slope agrees to within 10% with previous estimates based on X-ray selected catalogs, implying that the covariance in L_X and N_200 at fixed halo mass is not large. The luminosity intercent is 30%, or 2\sigma, lower than determined from the X-ray flux-limited sample of Reiprich & Bohringer (2002), assuming hydrostatic equilibrium. This difference could arise from a combination of Malmquist bias and/or systematic error in hydrostatic mass estimates, both of which are expected. The intercept agrees with that derived by Stanek et al. (2006) using a model for the statistical correspondence between clusters and halos in a WMAP3 cosmology with power spectrum normalization sigma_8 = 0.85. Similar exercises applied to future data sets will allow constraints on the covariance among optical and hot gas properties of clusters at fixed mass.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 21:21:15 GMT" }, { "version": "v2", "created": "Thu, 27 Mar 2008 17:35:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Rykoff", "E. S.", "", "UCSB" ], [ "Evrard", "A. E.", "", "U. Michigan" ], [ "McKay", "T. A.", "", "U. Michigan" ], [ "Becker", "M. R.", "", "U. Chicago" ], [ "Johnston", "D. E.", "", "JPL" ], [ "Koester", "B. P.", "", "U. Chicago" ], [ "Nord", "B.", "", "U. Michigan" ], [ "Rozo", "E.", "", "OSU" ], [ "Sheldon", "E. S.", "", "NYU" ], [ "Stanek", "R.", "", "U.\n Michigan" ], [ "Wechsler", "R. H.", "", "Stanford" ] ]
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802.107
Rina Anno
Rina Anno
Affine tangles and irreducible exotic sheaves
The paper has been enhanced and replaced by arXiv:1602.00768
null
null
null
math.AG math.CT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct a weak representation of the category of framed affine tangles on a disjoint union of triangulated categories ${\mathcal D}_{2n}$. The categories we use are that of coherent sheaves on Springer fibers over a nilpotent element of $sl_{2n}$ with two equal Jordan blocks. This representation allows us to enumerate the irreducible objects in the heart of the exotic $t$-structure on ${\mathcal D}_{2n}$ by crossingless matchings of $2n$ points on a circle. We also describe the algebra of endomorphisms of the direct sum of the irreducible objects.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 21:15:03 GMT" }, { "version": "v2", "created": "Sat, 9 Feb 2008 21:39:58 GMT" }, { "version": "v3", "created": "Wed, 6 Aug 2008 06:10:24 GMT" }, { "version": "v4", "created": "Fri, 5 Feb 2016 22:15:24 GMT" } ]
2016-02-09T00:00:00
[ [ "Anno", "Rina", "" ] ]
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802.1071
Els Peeters
Charles W. Bauschlicher, Jr., Els Peeters, Louis J. Allamandola
The infrared spectra of very large, compact, highly symmetric, polycyclic aromatic hydrocarbons (PAHs)
ApJ, 36 pages, 9 figs
null
10.1086/533424
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The mid-infrared spectra of large PAHs ranging from C54H18 to C130H28 are determined computationally using Density Functional Theory. Trends in the band positions and intensities as a function of PAH size, charge and geometry are discussed. Regarding the 3.3, 6.3 and 11.2 micron bands similar conclusions hold as with small PAHs. This does not hold for the other features. The larger PAH cations and anions produce bands at 7.8 micron and, as PAH sizes increases, a band near 8.5 micron becomes prominent and shifts slightly to the red. In addition, the average anion peak falls slightly to the red of the average cation peak. The similarity in behavior of the 7.8 and 8.6 micron bands with the astronomical observations suggests that they arise from large, cationic and anionic PAHs, with the specific peak position and profile reflecting the PAH cation to anion concentration ratio and relative intensities of PAH size. Hence, the broad astronomical 7.7 micron band is produced by a mixture of small and large PAH cations and anions, with small and large PAHs contributing more to the 7.6 and 7.8 micron component respectively. For the CH out-of-plane vibrations, the duo hydrogens couple with the solo vibrations and produce bands that fall at wavelengths slightly different than their counterparts in smaller PAHs. As a consequence, previously deduced PAH structures are altered in favor of more compact and symmetric forms. In addition, the overlap between the duo and trio bands may reproduce the blue-shaded 12.8 micron profile.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 21:21:34 GMT" } ]
2012-08-27T00:00:00
[ [ "Bauschlicher,", "Charles W.", "Jr." ], [ "Peeters", "Els", "" ], [ "Allamandola", "Louis J.", "" ] ]
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802.1072
Joan S. Birman
Joan S. Birman and William W. Menasco
A note on closed 3-braids
Final version. To appear in Communications in Contemporary Mathematics. 14 pages, 1 figure
null
null
null
math.GT math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Knots and links which are closed 3-braids are a very special class. Like 2-bridge knots and links, they are simple enough to admit a complete classification. At the same time they are rich enough to serve as a source of examples on which, with luck, a researcher may be able to test various conjectures. The goal of this review article is to gather together, in one place, some of the tools that are special to knots and links of braid index 3, in a form that could be useful for those who have a need to calculate, and need to know precisely all the exceptional cases. We also use it as an opportunity to review what is known and suggest some open questions.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 21:53:25 GMT" }, { "version": "v2", "created": "Wed, 14 May 2008 01:43:39 GMT" } ]
2008-05-14T00:00:00
[ [ "Birman", "Joan S.", "" ], [ "Menasco", "William W.", "" ] ]
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802.1073
HongSheng Zhao
HongSheng Zhao (StA), Bing-Xiao Xu (GSU), Clare Dobbs (Exeter)
Galaxy Bulges As Tests of CDM vs MOND in Strong Gravity
30p, 6 figs, expanded. Accpeted for ApJ
null
10.1086/591490
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The tight correlation between galaxy bulges and their central black hole masses likely emerges in a phase of rapid collapse and starburst at high redshift, due to the balance of gravity on gas with the feedback force from starbursts and the wind from the black hole; the average gravity on per unit mass of gas is ~ 2 x 10^-10 m/sec^2 during the star burst phase. This level of gravity could come from the real r^{-1} cusps of Cold Dark Matter (CDM) halos, but the predicted gravity would have a large scatter due to dependence on cosmological parameters and formation histories. Better agreement is found with the gravity from the scalar field in some co-variant versions of MOND, which can create the mirage of a Newtonian effective dark halo of density Pi r^{-1} near the center, where the characteristic surface density Pi=130alpha^{-1} Msun pc^{-2} and alpha is a fundamental constant of order unity fixed by the Lagrangian of the co-variant theory if neglecting environmental effects. We show with a toy analytical model and a hydrodynamical simulation that a constant background gravity due to MOND/TeVeS scalar field implies a critical pressure synchronizing starbursts and the formation of galaxy bulges and ellipticals. A universal threshold for the formation of the brightest regions of galaxies in a MONDian universe suggests that the central BHs, bulges and ellipticals would respect tight correlations like the M_{bulge}-M_{BH}-sigma relations. In general MOND tends to produce tight correlations in galaxy properties because its effective halo has less freedom and scatter than CDM halos.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 22:05:00 GMT" }, { "version": "v2", "created": "Sat, 8 Mar 2008 00:58:58 GMT" }, { "version": "v3", "created": "Fri, 20 Jun 2008 05:11:11 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhao", "HongSheng", "", "StA" ], [ "Xu", "Bing-Xiao", "", "GSU" ], [ "Dobbs", "Clare", "", "Exeter" ] ]
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802.1074
Glennys R. Farrar
Glennys R. Farrar and Andrei Gruzinov
Giant AGN Flares and Cosmic Ray Bursts
Obtained a more constraining prediction for photon counterparts of the predicted AGN flares, elaborated the discussion of AGN luminosity associated with UHECR acceleration, and corrected minor typos
Astrophys.J.693:329-332,2009
10.1088/0004-637X/693/1/329
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We predict a new class of very intense, short-duration AGN flares capable of accelerating the highest energy cosmic rays, resulting from the tidal disruption of a star or from a disk instability. The rate and power of these flares readily explains the observed flux and density statistics of UHECRs. The photon bursts produced by the predicted AGN flares are discussed; they may soon be detectable. Observations are shown to exclude that continuous jets of powerful Active Galactic Nuclei are the sole source of ultrahigh energy cosmic rays; the stringent requirements for Gamma Ray Bursts to be the source are delineated.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 23:17:02 GMT" }, { "version": "v2", "created": "Sun, 10 Feb 2008 04:28:15 GMT" }, { "version": "v3", "created": "Mon, 15 Sep 2008 19:32:06 GMT" } ]
2009-06-23T00:00:00
[ [ "Farrar", "Glennys R.", "" ], [ "Gruzinov", "Andrei", "" ] ]
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802.1075
Satoru Odake
Satoru Odake and Ryu Sasaki
Exactly solvable `discrete' quantum mechanics; shape invariance, Heisenberg solutions, annihilation-creation operators and coherent states
46 pages, 2 figures
Prog. Theor. Phys. 119 (2009), 663-700
10.1143/PTP.119.663
DPSU-08-1, YITP-08-1
quant-ph hep-th math-ph math.CA math.MP nlin.SI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Various examples of exactly solvable `discrete' quantum mechanics are explored explicitly with emphasis on shape invariance, Heisenberg operator solutions, annihilation-creation operators, the dynamical symmetry algebras and coherent states. The eigenfunctions are the (q-)Askey-scheme of hypergeometric orthogonal polynomials satisfying difference equation versions of the Schr\"odinger equation. Various reductions (restrictions) of the symmetry algebra of the Askey-Wilson system are explored in detail.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 23:31:00 GMT" } ]
2009-11-03T00:00:00
[ [ "Odake", "Satoru", "" ], [ "Sasaki", "Ryu", "" ] ]
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802.1076
Damien Vergnaud
Damien Vergnaud
New Extensions of Pairing-based Signatures into Universal (Multi) Designated Verifier Signatures
23 pages
null
null
null
cs.CR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The concept of universal designated verifier signatures was introduced by Steinfeld, Bull, Wang and Pieprzyk at Asiacrypt 2003. These signatures can be used as standard publicly verifiable digital signatures but have an additional functionality which allows any holder of a signature to designate the signature to any desired verifier. This designated verifier can check that the message was indeed signed, but is unable to convince anyone else of this fact. We propose new efficient constructions for pairing-based short signatures. Our first scheme is based on Boneh-Boyen signatures and its security can be analyzed in the standard security model. We prove its resistance to forgery assuming the hardness of the so-called strong Diffie-Hellman problem, under the knowledge-of-exponent assumption. The second scheme is compatible with the Boneh-Lynn-Shacham signatures and is proven unforgeable, in the random oracle model, under the assumption that the computational bilinear Diffie-Hellman problem is untractable. Both schemes are designed for devices with constrained computation capabilities since the signing and the designation procedure are pairing-free. Finally, we present extensions of these schemes in the multi-user setting proposed by Desmedt in 2003.
[ { "version": "v1", "created": "Thu, 7 Feb 2008 23:35:41 GMT" } ]
2008-02-11T00:00:00
[ [ "Vergnaud", "Damien", "" ] ]
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802.1077
Ismet Yurdusen
A. M. Grundland, I. Yurdusen
Surfaces obtained from CP^(N-1) sigma models
20 pages, changed content, published version
Int. J. Mod. Phys. A 23: 5137-5157, 2008
10.1142/S0217751X08042699
null
math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, the Weierstrass technique for harmonic maps S^2 -> CP^(N-1) is employed in order to obtain surfaces immersed in multidimensional Euclidean spaces. It is shown that if the CP^(N-1) model equations are defined on the sphere S^2 and the associated action functional of this model is finite, then the generalized Weierstrass formula for immersion describes conformally parametrized surfaces in the su(N) algebra. In particular, for any holomorphic or antiholomorphic solution of this model the associated surface can be expressed in terms of an orthogonal projector of rank (N-1). The implementation of this method is presented for two-dimensional conformally parametrized surfaces immersed in the su(3) algebra. The usefulness of the proposed approach is illustrated with examples, including the dilation-invariant meron-type solutions and the Veronese solutions for the CP^2 model. Depending on the location of the critical points (zeros and poles) of the first fundamental form associated with the meron solution, it is shown that the associated surfaces are semi-infinite cylinders. It is also demonstrated that surfaces related to holomorphic and mixed Veronese solutions are immersed in R^8 and R^3, respectively.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 00:01:18 GMT" }, { "version": "v2", "created": "Fri, 18 Apr 2008 20:45:24 GMT" }, { "version": "v3", "created": "Mon, 11 May 2009 22:01:18 GMT" } ]
2015-05-13T00:00:00
[ [ "Grundland", "A. M.", "" ], [ "Yurdusen", "I.", "" ] ]
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802.1078
Marco Giuseppe Pala
Michele Governale, Marco G. Pala, and J\"urgen K\"onig
Real-time diagrammatic approach to transport through interacting quantum dots with normal and superconducting leads
16 pages, 10 figures, few typos corrected
Phys. Rev. B 77, 134513 (2008); Phys. Rev. B 78, 069902(E) (2008)
10.1103/PhysRevB.77.134513
null
cond-mat.supr-con cond-mat.mes-hall
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a real-time diagrammatic theory for transport through interacting quantum dots tunnel coupled to normal and superconducting leads. Our formulation describes both the equilibrium and non-equilibrium superconducting proximity effect in a quantum dot. We study a three-terminal transistor geometry, consisting of a single-level quantum dot tunnel coupled to two phase-biased superconducting leads and one voltage-biased normal lead. We compute both the Josephson current between the two superconductors and the Andreev current in the normal lead, and analyze their switching on and off as well as transitions between 0- and $\pi$-states as a function of gate and bias voltage. For the limit of large superconducting gaps in the leads, we describe the formation of Andreev bound states within an exact resummation of all orders in the tunnel coupling to the superconducting leads, and discuss their signature in the non-equilibrium Josephson- and Andreev- current and the quantum-dot charge.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 15:24:35 GMT" }, { "version": "v2", "created": "Mon, 21 Apr 2008 08:24:50 GMT" }, { "version": "v3", "created": "Fri, 5 Sep 2008 07:44:43 GMT" } ]
2008-09-05T00:00:00
[ [ "Governale", "Michele", "" ], [ "Pala", "Marco G.", "" ], [ "König", "Jürgen", "" ] ]
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802.1079
Maria Skopina
S. Albeverio, S. Evdokimov and M. Skopina
$p$-Adic multiresolution analysis and wavelet frames
16 pages
null
null
null
math.CA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study $p$-adic multiresolution analyses (MRAs). A complete characterisation of test functions generating MRAs (scaling functions) is given. We prove that only 1-periodic test functions may be taken as orthogonal scaling functions. We also suggest a method for the construction of wavelet functions and prove that any wavelet function generates a $p$-adic wavelet frame.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 00:18:07 GMT" } ]
2008-02-11T00:00:00
[ [ "Albeverio", "S.", "" ], [ "Evdokimov", "S.", "" ], [ "Skopina", "M.", "" ] ]
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802.108
Stanislav Kupin
S. Kupin
Absolutely continuous spectrum of a Schr\"odinger operator on a tree
10 pages, 1 figure; a preliminary version, few more typos corrected
null
null
null
math.SP math-ph math.MP
null
We give sufficient conditions for the presence of the absolutely continuous spectrum of a Schr\"odinger operator on a regular rooted tree without loops (also called regular Bethe lattice or Cayley tree).
[ { "version": "v1", "created": "Fri, 8 Feb 2008 00:52:36 GMT" }, { "version": "v2", "created": "Sun, 10 Feb 2008 22:09:56 GMT" }, { "version": "v3", "created": "Sun, 18 May 2008 21:57:51 GMT" } ]
2008-05-19T00:00:00
[ [ "Kupin", "S.", "" ] ]
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802.1081
Henry De Thelin
Henry De Thelin
Ahlfors' currents in higher dimension
null
null
null
null
math.CV
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider a nondegenerate holomorphic map $f: V \mapsto X$ where $(X, \omega)$ is a compact hermitian manifold of dimension higher or equal to $k$ and $V$ is an open connected complex manifold of dimension $k$. In this article we give criteria which permit to construct Ahlfors' currents in $X$.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 15:08:32 GMT" } ]
2008-02-11T00:00:00
[ [ "De Thelin", "Henry", "" ] ]
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802.1082
Daniel Allcock
Daniel Allcock
On the Y555 complex reflection group
16 pages; submitted
null
null
null
math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We give a computer-free proof of a theorem of Basak, describing the group generated by 16 complex reflections of order 3, satisfying the braid and commutation relations of the Y555 diagram. The group is the full isometry group of a certain lattice of signature (13,1) over the Eisenstein integers Z[cube root of 1]. Along the way we enumerate the cusps of this lattice and classify the root and Niemeier lattices over this ring.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 01:33:44 GMT" } ]
2008-02-11T00:00:00
[ [ "Allcock", "Daniel", "" ] ]
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802.1083
Qi Chen
Qi Chen and Jozef H. Przytycki
The Gram determinant of the type B Temperley-Lieb algebra
null
null
null
null
math.GT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we solve a problem posed by Rodica Simion regarding type B Gram determinants. We present this in a fashion influenced by the work of W.B.R.Lickorish on Witten-Reshetikhin-Turaev invariants of 3-manifolds. The roots of the determinant were predicted by Dabkowski and Przytycki, and the complete factorization was conjectured by Gefry Barad. We will give a detailed history of this problem in a sequel paper in which we also plan to address other related questions by Simion, and connect the problem to Frenkel-Khovanov's work.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 02:17:06 GMT" }, { "version": "v2", "created": "Thu, 28 Feb 2008 03:15:34 GMT" } ]
2008-02-28T00:00:00
[ [ "Chen", "Qi", "" ], [ "Przytycki", "Jozef H.", "" ] ]
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802.1084
Yoshio Koide
Yoshio Koide
U(3)-Flavor Nonet Scalar as an Origin of the Flavor Mass Spectra
10 pages, no fugure, version to appear in Phys.Lett.B
Phys.Lett.B662:43-48,2008
10.1016/j.physletb.2008.02.059
null
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
According to an idea that the quark and lepton mass spectra originate in a VEV structure of a U(3)-flavor nonet scalar \Phi, the mass spectra of the down-quarks and charged leptons are investigated. The U(3) flavor symmetry is spontaneously and completely broken by non-zero and non-degenerated VEVs of $\Phi$, without passing any subgroup of U(3). The ratios (m_e+m_\mu+m_\tau)/(\sqrt{m_e}+\sqrt{m_\mu}+\sqrt{m_\tau})^2 and \sqrt{m_e m_\mu m_\tau}/(\sqrt{m_e}+\sqrt{m_\mu}+\sqrt{m_\tau})^3 are investigated based on a toy model.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 02:41:41 GMT" }, { "version": "v2", "created": "Fri, 29 Feb 2008 05:04:42 GMT" } ]
2008-11-26T00:00:00
[ [ "Koide", "Yoshio", "" ] ]
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802.1085
Jiaqun Wei
Jiaqun Wei
Auslander Bounds and Homological Conjectures
Comments are invited
Rev. Mat. Iberoamericana Volume 27, Number 3 (2011), 871-884
null
null
math.RA math.AC math.KT math.RT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Inspired by recent works on rings satisfying Auslander's conjecture, we study invariants, which we call Auslander bounds, and prove that they have strong relations to some homological conjectures.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 02:55:49 GMT" }, { "version": "v2", "created": "Tue, 11 Mar 2008 01:36:28 GMT" }, { "version": "v3", "created": "Wed, 28 Sep 2011 05:14:44 GMT" } ]
2011-09-29T00:00:00
[ [ "Wei", "Jiaqun", "" ] ]
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802.1086
Valeria Pettorino
Valeria Pettorino, Carlo Baccigalupi
Coupled and Extended Quintessence: theoretical differences and structure formation
19 pages, 4 figures. References added, minor changes, published in PRD
Phys.Rev.D77:103003,2008
10.1103/PhysRevD.77.103003
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The case of a coupling between dark energy and matter (Coupled Quintessence) or gravity (Extended Quintessence) has recently attracted a deep interest and has been widely investigated both in the Einstein and in the Jordan frames (EF, JF), within scalar tensor theories. Focusing on the simplest models proposed so far, in this paper we study the relation existing between the two scenarios, isolating the Weyl scaling which allows to express them in the EF and JF. Moreover, we perform a comparative study of the behavior of linear perturbations in both scenarios, which turn out to behave in a markedly different way. In particular, while the clustering is enhanced in the considered CQ models with respect to the corresponding Quintessence ones where the coupling is absent and to the ordinary cosmologies with a Cosmological Constant and Cold Dark Matter (LCDM), structures in EQ models may grow slower. This is likely to have direct consequences on the inner properties of non-linear structures, like cluster concentration, as well as on the weak lensing shear on large scales. Finally, we specialize our study for interfacing linear dynamics and N-body simulations in these cosmologies, giving a recipe for the corrections to be included in N-body codes in order to take into account the modifications to the expansion rate, growth of structures, and strength of gravity.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 16:09:39 GMT" }, { "version": "v2", "created": "Wed, 21 May 2008 15:07:58 GMT" } ]
2008-12-18T00:00:00
[ [ "Pettorino", "Valeria", "" ], [ "Baccigalupi", "Carlo", "" ] ]
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802.1087
Craig Maloney
Craig E. Maloney, Mark O. Robbins
Evolution of displacements and strains in sheared amorphous solids
Submitted to J. Phys. Cond. Mat. special volume for PITP Conference on Mechanical Behavior of Glassy Materials. 16 Pages, 8 figures
null
10.1088/0953-8984/20/24/244128
null
cond-mat.soft cond-mat.mtrl-sci
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The local deformation of two-dimensional Lennard-Jones glasses under imposed shear strain is studied via computer simulations. Both the mean squared displacement and mean squared strain rise linearly with the length of the strain interval $\Delta \gamma$ over which they are measured. However, the increase in displacement does not represent single-particle diffusion. There are long-range spatial correlations in displacement associated with slip lines with an amplitude of order the particle size. Strong dependence on system size is also observed. The probability distributions of displacement and strain are very different. For small $\Delta \gamma$ the distribution of displacement has a plateau followed by an exponential tail. The distribution becomes Gaussian as $\Delta \gamma$ increases to about .03. The strain distributions consist of sharp central peaks associated with elastic regions, and long exponential tails associated with plastic regions. The latter persist to the largest $\Delta \gamma$ studied.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 03:16:11 GMT" } ]
2009-11-13T00:00:00
[ [ "Maloney", "Craig E.", "" ], [ "Robbins", "Mark O.", "" ] ]
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802.1088
Evgenii Vdovin
Vdovin Evgenii
Carter subgroups of finite groups
null
Siberian Adv. Math. 19 (2009), no. 1, 24-74
null
MR2655836
math.GR
http://creativecommons.org/licenses/by-nc-sa/3.0/
In the paper it is proven that Carter subgroups of a finite group are conjugate. A complete classification of Carter subgroups in finite almost simple groups is also obtained.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 03:31:03 GMT" } ]
2010-08-17T00:00:00
[ [ "Evgenii", "Vdovin", "" ] ]
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802.1089
Gyula Szabo
R. Szak\'ats, Gy.M. Szab\'o, K. Szatm\'ary
Does the period of BE Lyncis really vary?
4 pages, 3 figures, IBVS 5816, http://www.konkoly.hu/cgi-bin/IBVS?5816
null
null
null
astro-ph
null
New photometric series of BE Lyncis are presented. With template curve fitting we re-determined the $O-C$ for BE Lyncis. The phase shift diagram is apparently constant, disproving the suspected period variations of BE Lyn.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 04:02:43 GMT" } ]
2008-02-11T00:00:00
[ [ "Szakáts", "R.", "" ], [ "Szabó", "Gy. M.", "" ], [ "Szatmáry", "K.", "" ] ]
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802.109
Hanindyo Kuncarayakti
Hanindyo Kuncarayakti, Desima Kristyowati, Chatief Kunjaya
On Nova Scorpii 2007 N.1 (V1280 Sco)
Accepted for publication in Astrophysics & Space Science
Astrophys.Space Sci.314:209-212,2008; Erratum-ibid.314:367,2008
10.1007/s10509-008-9756-0 10.1007/s10509-008-9779-6
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present the results of our photometric and spectroscopic observations of Nova Sco 2007 N.1 (V1280 Sco). The photometric data was represented by a single data point in the light curve since the observation was carried out only for one night. The spectra cover two different phases of the object's evolution during the outburst, i.e. pre-maximum and post-maximum. Measurements of the P-Cygni profile on Na I 'D' line (5889 \AA) was derived as the velocity of shell expansion, yielding $1567.43 \pm 174.14$ km s$^{-1}$. We conclude that V1280 Sco is a fast Fe II-type nova.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 04:00:01 GMT" } ]
2009-06-23T00:00:00
[ [ "Kuncarayakti", "Hanindyo", "" ], [ "Kristyowati", "Desima", "" ], [ "Kunjaya", "Chatief", "" ] ]
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802.1091
Boris Zilbergleyt
B. Zilbergleyt
Equilibrium Constant as Solution to the Open Chemical Systems
2 pages, no figures
null
null
null
physics.chem-ph
null
According to contemporary views, equilibrium constant is relevant only to true thermodynamic equilibria in isolated systems with one chemical reaction. The paper presents a novel formula that ties-up equilibrium constant and chemical system composition at any state, isolated or open as well. Extending the logarithmic logistic map of the Discrete Thermodynamics of Chemical Equilibria, this formula maps the system population at isolated equilibrium into the population at any open equilibrium at p,T=const, using equilibrium constant as a measure. Real chemical systems comprise multiple subsystems; given the resources are limited, joint solution to the set of such expressions, each relevant to a specific subsystem, gives equilibrium composition for each of them. This result means a fundamental break through in the open systems thermodynamics and leads to formerly unknown opportunities in the analysis of real chemical objects.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 04:54:18 GMT" } ]
2008-02-11T00:00:00
[ [ "Zilbergleyt", "B.", "" ] ]
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802.1092
Alexander Gavrilenko
A. V. Gavrilenko, C. E. Bonner, V. I. Gavrilenko
Equilibrium Geometries, Reaction Pathways, and Electronic Structures of Ethanol Adsorbed on the Si (111) Surface
8 pages, 5 figures, submitted to Physical Review B
null
null
null
physics.comp-ph physics.chem-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Equilibrium atomic configurations and electron energy structure of ethanol adsorbed on the Si (111) surface are studied by the first-principles density functional theory. Geometry optimization is performed by the total energy minimization method. Several equilibrium atomic configurations of ethanol, both undissociated and dissociated, on the Si (111) surface are found. Reaction pathways and predicted transition states are discussed in comparison with available experimental data in terms of the feasibility of the reactions occurring. Analysis of atom and orbital resolved projected density of states indicate substantial modifications of the Si surface valence and conduction bands due to the adsorption of ethanol affecting the electrical properties of the surface.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 04:49:03 GMT" } ]
2008-02-11T00:00:00
[ [ "Gavrilenko", "A. V.", "" ], [ "Bonner", "C. E.", "" ], [ "Gavrilenko", "V. I.", "" ] ]
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802.1093
Silke Ospelkaus
S. Ospelkaus, A. Pe'er, K.-K. Ni, J. J. Zirbel, B. Neyenhuis, S. Kotochigova, P. S. Julienne, J. Ye, and D. S. Jin
Ultracold dense gas of deeply bound heteronuclear molecules
5 pages, 5 figures
Nature Physics, 4, 622 - 626 (2008)
10.1038/nphys997
null
physics.atom-ph cond-mat.other
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recently, the quest for an ultracold and dense ensemble of polar molecules has attracted strong interest. Polar molecules have bright prospects for novel quantum gases with long-range and anisotropic interactions, for quantum information science, and for precision measurements. However, high-density clouds of ultracold polar molecules have so far not been produced. Here, we report a key step towards this goal. Starting from an ultracold dense gas of heteronuclear 40K-87Rb Feshbach molecules with typical binding energies of a few hundred kHz and a negligible dipole moment, we coherently transfer these molecules into a vibrational level of the ground-state molecular potential bound by >10 GHz. We thereby increase the binding energy and the expected dipole moment of the 40K-87Rb molecules by more than four orders of magnitude in a single transfer step. Starting with a single initial state prepared with Feshbach association, we achieve a transfer efficiency of 84%. While dipolar effects are not yet observable, the presented technique can be extended to access much more deeply bound vibrational levels and ultimately those exhibiting a significant dipole moment. The preparation of an ultracold quantum gas of polar molecules might therefore come within experimental reach.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 05:27:12 GMT" } ]
2008-12-01T00:00:00
[ [ "Ospelkaus", "S.", "" ], [ "Pe'er", "A.", "" ], [ "Ni", "K. -K.", "" ], [ "Zirbel", "J. J.", "" ], [ "Neyenhuis", "B.", "" ], [ "Kotochigova", "S.", "" ], [ "Julienne", "P. S.", "" ], [ "Ye", "J.", "" ], [ "Jin", "D. S.", "" ] ]
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802.1094
Andrei Zavarnitsine
Andrei V. Zavarnitsine
Properties of element orders in covers for L(n,q) and U(n,q)
null
Sibirsk. Mat. Zh. 49 (2008), no. 2, 309--322
null
null
math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that if a finite simple group G isomorphic to PSL(n,q) or PSU(n,q), where either $n\ne 4$, or q is prime or even, acts on a vector space over a field of the defining characteristic of G, then the corresponding semidirect product contains an element whose order is distinct from every element order of G. As a consequence, we prove that the group PSL(n,q), where $n\ne 4$ or q prime or even, is recognizable by spectrum from its covers thus giving a partial positive answer to Problem 14.60 from the Kourovka notebook.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 05:33:15 GMT" } ]
2008-11-03T00:00:00
[ [ "Zavarnitsine", "Andrei V.", "" ] ]
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802.1095
Christopher Graney
Christopher M. Graney
On the Accuracy of Galileo's Observations
Post-publication version with large figures, posted to arxiv with OK of Baltic Astronomy
Baltic Astonomy (2007), vol. 16, pg. 443
null
null
physics.hist-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Galileo Galilei had sufficient skill as an observer and instrument builder to be able to measure the positions and apparent sizes of objects seen through his telescopes to an accuracy of 2" or better. However, Galileo had no knowledge of wave optics, so when he was measuring stellar apparent sizes he was producing very accurate measurements of diffraction artifacts and not physical bodies.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 05:37:27 GMT" } ]
2008-02-11T00:00:00
[ [ "Graney", "Christopher M.", "" ] ]
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802.1096
Paul M. Terwilliger
Kazumasa Nomura and Paul Terwilliger
The structure of a tridiagonal pair
18 pages
null
null
null
math.RA math.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let $K$ denote a field and let $V$ denote a vector space over $K$ with finite positive dimension. We consider a pair of linear transformations $A:V \to V$ and $A^*:V \to V$ that satisfy the following conditions: (i) each of $A,A^*$ is diagonalizable; (ii) there exists an ordering $\{V_i\}_{i=0}^d$ of the eigenspaces of $A$ such that $A^* V_i \subseteq V_{i-1} + V_i + V_{i+1}$ for $0 \leq i \leq d$, where $V_{-1}=0$ and $V_{d+1}=0$; (iii) there exists an ordering $\{V^*_i\}_{i=0}^\delta$ of the eigenspaces of $A^*$ such that $A V^*_i \subseteq V^*_{i-1} + V^*_i + V^*_{i+1}$ for $0 \leq i \leq \delta$, where $V^*_{-1}=0$ and $V^*_{\delta+1}=0$; (iv)there is no subspace $W$ of $V$ such that $AW \subseteq W$, $A^* W \subseteq W$, $W \neq 0$, $W \neq V$. We call such a pair a tridiagonal pair on $V$. It is known that $d=\delta$ and for $0 \leq i \leq d$ the dimensions of $V_i, V_{d-i}, V^*_i, V^*_{d-i}$ coincide. In this paper we show that the following (i)--(iv) hold provided that $K$ is algebraically closed: (i) Each of $V_0$, $V^*_0$, $V_d$, $V^*_d$ has dimension 1. (ii) There exists a nondegenerate symmetric bilinear form $(,)$ on $V$ such that $(Au,v)=(u,Av)$ and $(A^*u,v)=(u,A^*v)$ for all $u,v \in V$. (iii) There exists a unique anti-automorphism of $End(V)$ that fixes each of $A,A^*$. (iv) The pair $A,A^*$ is determined up to isomorphism by the data $(\{\th_i\}_{i=0}^d; \{\th^*_i\}_{i=0}^d; \{\zeta_i\}_{i=0}^d)$, where $\th_i$ (resp. $\th^*_i$) is the eigenvalue of $A$ (resp. $A^*$) on $V_i$ (resp. $V^*_i$), and $\{\zeta_i\}_{i=0}^d$ is the split sequence of $A,A^*$ corresponding to $\{\th_i\}_{i=0}^d$ and $\{\th^*_i\}_{i=0}^d$.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 05:38:02 GMT" } ]
2008-02-11T00:00:00
[ [ "Nomura", "Kazumasa", "" ], [ "Terwilliger", "Paul", "" ] ]
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802.1097
Puangratana Pairor
B Srisongmuang, P Pairor, and M Berciu
Tunneling conductance of a metal-semiconductor heterostructure with Rashba effect
null
null
null
null
cond-mat.mes-hall
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We theoretically studied the in-plane tunneling spectroscopy of the hybrid structure composed of a metal and a semiconductor with Rashba spin-orbit coupling. We found that the energy spacing between two distinct features in the conductance spectrum can be used to measure the Rashba energy of the semiconductor. We also considered the effect that varying the probability of spin-conserving and spin-flip scattering at the interface has on the overall conductance. Surprisingly, an increase in interface scattering probability can actually result in increased conductance under certain conditions. Particularly, in the tunneling regime, an increase in spin-flip scattering probability enhances the conductance. It is also found that the interfacial scattering greatly affects the spin polarization of the conductance in metal, but hardly affects that in the semiconductor.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 05:57:42 GMT" }, { "version": "v2", "created": "Wed, 28 May 2008 03:00:18 GMT" } ]
2008-05-28T00:00:00
[ [ "Srisongmuang", "B", "" ], [ "Pairor", "P", "" ], [ "Berciu", "M", "" ] ]
[ 0.0350478441, -0.0436271392, -0.0525128394, -0.0054327692, 0.0506744199, 0.0435564294, 0.0202579834, -0.0041659088, -0.0061339615, -0.1181303188, -0.0640147552, -0.0369569734, -0.0081137996, 0.1109651923, -0.014271331, -0.0796177611, -0.0601493567, 0.0798534602, 0.0786749795, 0.0051293117, 0.0386304073, -0.0329972953, 0.0688229352, 0.0449941717, -0.0664659813, -0.0074951001, 0.060007941, 0.0655703396, 0.1057799011, -0.0352128297, -0.0455126986, -0.0316302665, -0.0034411466, -0.1730001122, -0.1062512919, 0.1227499396, -0.0025646558, 0.0268220883, 0.0099934665, 0.0095633231, -0.0812676251, 0.0240526721, -0.1235984415, 0.1057799011, 0.0392196439, 0.0159329809, 0.0008381903, -0.0541155674, 0.0881499201, 0.0165222175, -0.0378054753, -0.0742439181, 0.0027119652, -0.0060750381, -0.071368441, -0.0287547875, 0.0034028462, 0.0815033242, -0.0594422705, -0.0278355759, -0.0407987982, -0.0919210389, -0.0672202036, -0.0151905408, -0.0743381977, -0.042519372, -0.0326673239, -0.001903237, -0.0130928559, 0.0492602475, 0.0863586366, -0.0510043912, 0.1060627401, 0.0102998707, -0.0352599695, 0.0247479714, -0.0462433547, 0.023298448, 0.0273641869, 0.0164397247, 0.0720755234, -0.120015882, 0.094655104, -0.042024415, -0.1148305908, -0.0031435818, -0.0074892077, -0.11021097, -0.1005003378, -0.0706142113, 0.0271049216, -0.0189970154, -0.0314417109, 0.1442453265, 0.0012469738, -0.0299568307, 0.00469033, -0.0785807073, -0.0276705902, 0.0523242839, 0.0689643472, -0.0152966036, 0.0201165657, -0.0391253643, 0.1511276215, -0.0925338492, 0.0069117551, 0.0079370281, -0.0364855826, -0.0223792382, 0.1702660471, -0.0109774936, 0.0039007517, 0.054351259, 0.00692354, -0.0392903537, 0.0086794673, -0.0448763222, -0.0002846753, 0.1123793647, -0.0324316286, -0.0465261862, 0.0928638205, -0.0451120175, 0.0654289275, 0.0414116085, -0.0154144512, -0.1209586635, -0.0422129706, -0.0660417303, 0.0291790385, -0.0092687048, -0.0610449985, -0.0134463981, -0.0006894078, -0.0067703379, -0.0091096107, -0.0368391238, 0.1030458435, -0.0237816218, -0.008979978, -0.0347885787, 0.0564725138, -0.0000742531, 0.049401667, 0.0273641869, 0.0443577953, 0.0790049583, 0.0078427503, 0.0601493567, 0.0003590666, -0.1081368551, 0.0487417206, 0.1105880812, 0.1560300738, -0.0609978586, -0.0281184111, 0.0935709029, -0.0701428205, -0.0193859115, 0.0513343662, 0.0450884476, -0.0264214072, -0.0146602271, 0.0955507383, 0.0008160938, -0.0724054947, 0.0354249552, -0.0243472904, -0.0173471496, -0.096304968, -0.0805605426, -0.0669845119, -0.0004813333, 0.0205643866, 0.0413644686, -0.0262799896, -0.2034519017, 0.0989918858, 0.0998403877, 0.0096576018, 0.0019120754, -0.0049407557, 0.0774965063, 0.0393374898, -0.0223203134, 0.0479167886, 0.064486146, -0.0019282795, -0.0242294427, -0.0473746881, 0.1190731004, 0.0778264776, 0.0355663709, -0.1421712041, -0.1386829168, 0.0390310884, 0.1208643839, 0.0542098433, 0.0105237802, 0.0681158453, -0.0683986843, 0.0537384525, 0.0030581423, -0.0986147746, -0.0094336914, -0.0014981362, -0.0133403353, 0.0570381843, 0.0968234912, 0.0444756411, 0.0013810252, 0.0346942991, 0.0033350838, 0.0114370985, 0.0055034775, -0.0154851601, 0.0427079275, 0.0423072465, 0.0870657265, 0.0291083287, -0.0349771343, 0.0595365502, 0.0238641165, 0.0697185695, 0.1588584185, -0.0265863929, -0.0149784153, 0.047728233, -0.0499673337, 0.0493073873, 0.0237344839, -0.0446170568, 0.0351892598, 0.0185138397, 0.0546340942, 0.0295090098, -0.0728768855, -0.0278591458, -0.1039886251, -0.0579809621, 0.0506744199, -0.0218135696, 0.0789106786, 0.0267278105, 0.0481996201, -0.0736782476, 0.0226738565, 0.0561896823, -0.0070237103, -0.1107766405, 0.0342936181, -0.089422673, 0.044169236, -0.074668169, -0.016369015 ]
802.1098
Tony Roberts
A. J. Roberts
Model dynamics on a multigrid across multiple length and time scales
null
null
null
null
nlin.CG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Most methods for modelling dynamics posit just two time scales: a fast and a slow scale. But many applications, including many in continuum mechanics, possess a wide variety of space-time scales; often they possess a continuum of space-time scales. I discuss an approach to modelling the discretised dynamics of advection and diffusion with rigorous support for changing the resolved spatial grid scale by just a factor of two. The mapping of dynamics from a finer grid to a coarser grid is then iterated to generate a hierarchy of models across a wide range of space-time scales, all with rigorous support across the whole hierarchy. This approach empowers us with great flexibility in modelling complex dynamics over multiple scales.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 06:23:45 GMT" } ]
2008-02-11T00:00:00
[ [ "Roberts", "A. J.", "" ] ]
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802.1099
Bertrand Iooss
Amandine Marrel, Bertrand Iooss, Francois Van Dorpe, Elena Volkova
An efficient methodology for modeling complex computer codes with Gaussian processes
null
null
null
null
stat.AP
null
Complex computer codes are often too time expensive to be directly used to perform uncertainty propagation studies, global sensitivity analysis or to solve optimization problems. A well known and widely used method to circumvent this inconvenience consists in replacing the complex computer code by a reduced model, called a metamodel, or a response surface that represents the computer code and requires acceptable calculation time. One particular class of metamodels is studied: the Gaussian process model that is characterized by its mean and covariance functions. A specific estimation procedure is developed to adjust a Gaussian process model in complex cases (non linear relations, highly dispersed or discontinuous output, high dimensional input, inadequate sampling designs, ...). The efficiency of this algorithm is compared to the efficiency of other existing algorithms on an analytical test case. The proposed methodology is also illustrated for the case of a complex hydrogeological computer code, simulating radionuclide transport in groundwater.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 07:12:13 GMT" }, { "version": "v2", "created": "Sun, 6 Apr 2008 04:38:08 GMT" } ]
2008-04-06T00:00:00
[ [ "Marrel", "Amandine", "" ], [ "Iooss", "Bertrand", "" ], [ "Van Dorpe", "Francois", "" ], [ "Volkova", "Elena", "" ] ]
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802.11
Farruh Shahidi
Rasul Ganikhodzhaev and Farruh Shahidi
On doubly stochastic quadratic operators and Birkhoff's problem
18 pages
null
null
null
math.FA math.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In the present paper we introduce a concept of doubly stochastic quadratic operator. We prove necessary and sufficient conditions for doubly stochasticity of operator. Besides, we prove that the set of all doubly stochastic operators forms convex polytope. Finally, we study analogue of Birkhoff's theorem for the class of doubly stochastic quadratic operators.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 07:13:40 GMT" } ]
2008-02-11T00:00:00
[ [ "Ganikhodzhaev", "Rasul", "" ], [ "Shahidi", "Farruh", "" ] ]
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802.1101
Dhananjay Mehendale
Dhananjay P. Mehendale
Ising Problem on Simple Cubic Lattice
45 pages
null
null
null
math.GM
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Simple cubic lattice (SC lattice) can be viewed as plane triangular lattice (PT lattice) by viewing it along its principle diagonal lines. By viewing thus we establish the exact one-to-one correspondence between the closed graphs on SC lattice and the corresponding closed graphs on PT lattice. We thus see that the propagator for PT lattice (with suitable modifications) can be used to solve, at least in principle, the 3D Ising problem for SC lattice in the absence of external magnetic field. A new method is then proposed to generate high temperature expansion for the partition function. This method is applicable to 2D as well as 3D lattices. This method does not require explicit counting of closed graphs and this counting is achieved in an indirect way and thus exact series expansion can be achieved up to any sufficiently large order.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 07:16:54 GMT" } ]
2008-02-11T00:00:00
[ [ "Mehendale", "Dhananjay P.", "" ] ]
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802.1102
Subham Majumdar
S. Chatterjee, S. Giri, S. Majumdar, and S. K. De
Metastability and magnetic memory effect in Ni-Mn-Sn alloy
null
PHYSICAL REVIEW B 77, 012404 (2008)
10.1103/PhysRevB.77.012404
null
cond-mat.str-el cond-mat.mtrl-sci
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Magneto-structural instability in the ferromagnetic shape memory alloy of composition Ni$_2$Mn$_{1.4}$Sn$_{0.6}$ is investigated by transport and magnetic measurements. Large negative magnetoresistance is observed around the martensitic transition temperature (90-210 K). Both magnetization and magnetoresistance data indicate that upon the application of an external magnetic field at a constant temperature, the sample attains a field-induced arrested state which persists even when the field is withdrawn. We observe an intriguing behavior of the arrested state that it can remember the last highest field it has experienced. The field-induced structural transition plays the key role for the observed anomaly and the observed irreversibility can be accounted by the Landau-type free energy model for the first order phase transition.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 07:18:39 GMT" } ]
2009-11-13T00:00:00
[ [ "Chatterjee", "S.", "" ], [ "Giri", "S.", "" ], [ "Majumdar", "S.", "" ], [ "De", "S. K.", "" ] ]
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