Mathematics

Authors and titles for October 2002

[1] arXiv:cs/0210015 [pdf, other]

Title: New Developments in Interval Arithmetic and Their Implications for Floating-Point Standardization

M.H. van Emden

Comments: 12 pages; 3 tables

Subjects: Numerical Analysis (math.NA)

[2] arXiv:math-ph/0210001 [pdf, other]

Title: Passive Advection and the Degenerate Elliptic Operators $M_n$

Ville Hakulinen

Comments: 52 pages

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[3] arXiv:math-ph/0210002 [pdf, other]

Title: The Coulomb-Oscillator Relation on n-Dimensional Spheres and Hyperboloids

E.G.Kalnins, W.Miller Jr., G.S.Pogosyan

Comments: 15 pages, LaTeX

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI); Quantum Physics (quant-ph)

[4] arXiv:math-ph/0210003 [pdf, other]

Title: On multisolitonic decay behavior of internal gravity waves

A. Halim, S. Kshevetskii, S. Leble

Comments: 16 pages, 4 figures, Computational Physics, Aachen 2001

Subjects: Mathematical Physics (math-ph)

[5] arXiv:math-ph/0210004 [pdf, other]

Title: Universal behavior of quantum Green's functions

L. Samaj, J.K. Percus, P. Kalinay

Comments: 46 pages, the shortened version submitted to J. Math. Phys

Journal-ref: J. Math. Phys. 44 (2003) 1625-1637

Subjects: Mathematical Physics (math-ph)

[6] arXiv:math-ph/0210005 [pdf, other]

Title: On the completeness of a system of coherent states

A.M. Perelomov

Comments: an old paper (1971) posted for archival purposes

Journal-ref: Theor. Math. Phys. 6, 156 - 164 (1971)

Subjects: Mathematical Physics (math-ph)

[7] arXiv:math-ph/0210006 [pdf, other]

Title: Revisited gauge principle: towards a unification of space-time and internal gauge interactions

V. Aldaya, J.L. Jaramillo, J. Guerrero

Comments: 22 pages, LATEX, no figures

Journal-ref: J.Math.Phys. 44 (2003) 5166-5184

Subjects: Mathematical Physics (math-ph)

[8] arXiv:math-ph/0210007 [pdf, other]

Title: Quantum Algorithm Uncertainty Principles

Ken Loo

Journal-ref: NEW DEVELOPMENTS IN MATHEMATICAL PHYSICS RESEARCH - 2004, Nova Publishers

Subjects: Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[9] arXiv:math-ph/0210008 [pdf, other]

Title: On Scattering by a Cylindrical Trap in Critical Case

Rustem R. Gadyl'shin

Subjects: Mathematical Physics (math-ph)

[10] arXiv:math-ph/0210009 [pdf, other]

Title: New coherent states and a new proof of the Scott correction

Jan Philip Solovej, Wolfgang L Spitzer

Comments: A misprint in definition of new coherent states corrected. To appear in Proceedings of the UAB 2002 Int'l Conference on Differential Equations and Mathematics Physics

Subjects: Mathematical Physics (math-ph); Spectral Theory (math.SP)

[11] arXiv:math-ph/0210010 [pdf, other]

Title: Universal Results for Correlations of Characteristic Polynomials: Riemann-Hilbert Approach

Eugene Strahov, Yan V. Fyodorov

Comments: 34pages

Journal-ref: Commun.Math.Phys. 241 (2003) 343-382

Subjects: Mathematical Physics (math-ph); Condensed Matter (cond-mat); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)

[12] arXiv:math-ph/0210011 [pdf, other]

Title: Homogeneity as a bridge between Carath\'eodory and Gibbs

F.Belgiorno

Comments: 18 pages, uses RevteX

Subjects: Mathematical Physics (math-ph)

[13] arXiv:math-ph/0210012 [pdf, other]

Title: Tau Functions and Matrix Integrals

A. Yu. Orlov

Comments: Latex, 74 pages, no figures

Subjects: Mathematical Physics (math-ph)

[14] arXiv:math-ph/0210013 [pdf, other]

Title: On Crossing Event Formulas in Critical Two-Dimensional Percolation

Robert S. Maier (University of Arizona)

Comments: final version, accepted by J. Statistical Physics; 22 pages

Journal-ref: J. Statistical Physics 111 (2003) 1027-1048

Subjects: Mathematical Physics (math-ph); Classical Analysis and ODEs (math.CA); Complex Variables (math.CV)

[15] arXiv:math-ph/0210014 [pdf, other]

Title: Rigged configurations and the Bethe Ansatz

Anne Schilling

Comments: 24 pages; lecture notes; axodraw style file required

Subjects: Mathematical Physics (math-ph)

[16] arXiv:math-ph/0210015 [pdf, other]

Title: Deformation quantization and the Baum-Connes conjecture

N.P. Landsman

Comments: 21 pages

Subjects: Mathematical Physics (math-ph); K-Theory and Homology (math.KT)

[17] arXiv:math-ph/0210016 [pdf, other]

Title: Exponentials form a basis of discrete holomorphic functions

Christian Mercat

Comments: 23 pages, 5 figures

Subjects: Mathematical Physics (math-ph); Combinatorics (math.CO)

[18] arXiv:math-ph/0210017 [pdf, other]

Title: On the dynamics of interfaces in the ferromagnetic XXZ chain under weak perturbations

Bruno Nachtergaele, Wolfgang L Spitzer, Shannon Starr

Comments: 20 pages, 2 figures, uses this http URL. 1 reference added

Journal-ref: in Y. Karpeshina, G. Stolz, R, Weikard, and Y. Zeng (Eds), {\it Advances in Differential Equations and Mathematical Physics}, Contempary Mathematics vol. 327, American Mathematical Society, 2003, pp 251--270

Subjects: Mathematical Physics (math-ph)

[19] arXiv:math-ph/0210018 [pdf, other]

Title: Integrable Dynamics of Charges Related to Bilinear Hypergeometric Equation

Igor Loutsenko

Comments: 27 pages, Latex, A new corrected version of older submission

Journal-ref: Commun.Math.Phys. 242 (2003) 251-275

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Dynamical Systems (math.DS); Exactly Solvable and Integrable Systems (nlin.SI); Fluid Dynamics (physics.flu-dyn)

[20] arXiv:math-ph/0210019 [pdf, other]

Title: On Elliptical Billiards in the Lobachevsky Space and associated Geodesic Hierarchies

Vladimir Dragovic, Bozidar Jovanovic, Milena Radnovic

Comments: 14 pages, to appear in Journal of Geometry and Physics

Journal-ref: Journal of Geometry and Physics 47 (2003) 221-234

Subjects: Mathematical Physics (math-ph); Dynamical Systems (math.DS)

[21] arXiv:math-ph/0210020 [pdf, other]

Title: Quantum electrodynamics on the 3-torus -I

J. Dimock

Comments: 70 pages, 2 figures, Latex

Subjects: Mathematical Physics (math-ph)

[22] arXiv:math-ph/0210021 [pdf, other]

Title: The Relativistic Particle and its d-brane Cousins

Vesselin G. Gueorguiev

Comments: 8 pages, no figures, talk presented at the First Advanced Research Workshop on Gravity, Astrophysics and Strings at The Black Sea, Kiten, Bulgaria, June 10-16, 2002

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)

[23] arXiv:math-ph/0210022 [pdf, other]

Title: Matter, Fields, and Reparametrization-Invariant Systems

Vesselin G. Gueorguiev

Comments: 11 pages, no figures, talk presented at the the 4th Conference on Geometry, Integrability and Quantization in Sts. Constantine and Elena resort (near Varna), Bulgaria, June 6-15, 2002

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)

[24] arXiv:math-ph/0210023 [pdf, other]

Title: Koszul-Tate Cohomology as Lowest-Energy Modules of Non-Centrally Extended Diffeomorphism Algebras

T. A. Larsson

Subjects: Mathematical Physics (math-ph)

[25] arXiv:math-ph/0210024 [pdf, other]

Title: The Presentation of the Algebra of Observables of the Closed Bosonic String in 1+3 Dimensions: Calculation up to Order \hbar^7

G. Handrich, C. Paufler, J. B. Tausk, M. Walter

Comments: It has been pointed out to the authors that there is a typing error in the factor in front of g2 in the second last line of the formula in the appendix. This factor has been corrected in this new version. 8 pages, appendix to appear in electronic version only

Journal-ref: Modern Physics Letters A, Vol. 17, No. 40 (2002) 2611-2615

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)

[26] arXiv:math-ph/0210025 [pdf, other]

Title: Incompressible Canonical Quantization

C. P. Viazminsky

Comments: 12 Pages

Subjects: Mathematical Physics (math-ph)

[27] arXiv:math-ph/0210026 [pdf, other]

Title: Bohr-Sommerfeld conditions for several commuting Hamiltonians

C. Anne, A-M. Charbonnel

Comments: 18 pages, LaTeX

Subjects: Mathematical Physics (math-ph)

[28] arXiv:math-ph/0210027 [pdf, other]

Title: Equivalent forms of the Bessis-Moussa-Villani conjecture

Elliott H. Lieb, Robert Seiringer

Comments: LaTeX2e, 6 pages; additional explanations and dedication added; add. reference added

Journal-ref: J. Stat. Phys. 115, 185-190 (2004)

Subjects: Mathematical Physics (math-ph); General Mathematics (math.GM); Rings and Algebras (math.RA)

[29] arXiv:math-ph/0210028 [pdf, other]

Title: Bose-Einstein Condensation of Dilute Gases in Traps

Elliott H. Lieb, Robert Seiringer

Comments: To appear in the proceedings of the UAB2002 conference at Birmingham, Alabama

Journal-ref: Advances in Differential Equations and Mathematical Physics, pp. 239-250, Amer. Math. Soc. (2003)

Subjects: Mathematical Physics (math-ph)

[30] arXiv:math-ph/0210029 [pdf, other]

Title: Distributional Borel Summability for Vacuum Polarization by an External Electric Field

Emanuela Caliceti

Comments: 14 pages

Subjects: Mathematical Physics (math-ph)

[31] arXiv:math-ph/0210030 [pdf, other]

Title: The algebraic entropy of classical mechanics

Robert I McLachlan, Brett Ryland

Comments: 23 pages, 2 figures, submitted to J Math Phys

Subjects: Mathematical Physics (math-ph)

[32] arXiv:math-ph/0210031 [pdf, other]

Title: Algebras of random operators associated to Delone dynamical systems

D. Lenz, P. Stollmann

Comments: 19 pages

Subjects: Mathematical Physics (math-ph); Operator Algebras (math.OA)

[33] arXiv:math-ph/0210032 [pdf, other]

Title: Geometric factors in the Bohr--Rosenfeld analysis of the measurability of the electromagnetic field

V. Hnizdo

Comments: 21 pages, REVTeX

Journal-ref: J. Phys. A: Math. Gen. 32, 2427--2445 (1999)

Subjects: Mathematical Physics (math-ph)

[34] arXiv:math-ph/0210033 [pdf, other]

Title: Volumes of Compact Manifolds

Luis J. Boya, E.C.G. Sudarshan, Todd Tilma

Comments: 26 pages, no figures; updated addresses and bibliography. To be published in Rep. Math. Phys

Journal-ref: Rep. Math. Phys. 52, 3 (2003) 401-422

Subjects: Mathematical Physics (math-ph); Differential Geometry (math.DG)

[35] arXiv:math-ph/0210034 [pdf, other]

Title: Distribution functions for largest eigenvalues and their applications

Craig A. Tracy, Harold Widom

Journal-ref: Proceedings of the ICM, Beijing 2002, vol. 1, 587--596

Subjects: Mathematical Physics (math-ph)

[36] arXiv:math-ph/0210035 [pdf, other]

Title: The numerical study of the solution of the $\Phi_0^4$ model

S. Gladkoff, A. Alaie, Y. Sansonnet, M. Manolessou

Comments: arxiv version is already official

Journal-ref: J.Nonlin.Math.Phys. 9 (2002) 77-85

Subjects: Mathematical Physics (math-ph)

[37] arXiv:math-ph/0210036 [pdf, other]

Title: Derivation of the Euler equations from many-body quantum mechanics

Bruno Nachtergaele, Horng-Tzer Yau

Journal-ref: Proceedings of the ICM, Beijing 2002, vol. 3, 467--476

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[38] arXiv:math-ph/0210037 [pdf, other]

Title: Wilson surfaces and higher dimensional knot invariants

Alberto S. Cattaneo, Carlo A. Rossi

Comments: 31 pages, 9 figures

Journal-ref: Commun.Math.Phys. 256 (2005) 513-537

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Geometric Topology (math.GT); Quantum Algebra (math.QA)

[39] arXiv:math-ph/0210038 [pdf, other]

Title: WDVV Equations, Darboux-Egoroff Metric and the Dressing Method

H. Aratyn, J.F. Gomes, J.W. van de Leur, A.H. Zimerman

Comments: Contribution to the conference "Workshop on Integrable Theories, Solitons and Duality", Unesp2002, LaTeX file w. JHEP style file

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)

[40] arXiv:math-ph/0210039 [pdf, other]

Title: On the convergence to statistical equilibrium for harmonic crystals

T.V.Dudnikova, A.I.Komech, H.Spohn

Journal-ref: J. Math. Phys. 44 (2003), 2596-2620

Subjects: Mathematical Physics (math-ph); Probability (math.PR)

[41] arXiv:math-ph/0210040 [pdf, other]

Title: Diophantine approximation and the solubility of the Schroedinger equation

Simon Kristensen

Comments: 7 pages, revised version

Journal-ref: Physics Letters A, Volume 314, Issues 1-2 , 21 July 2003 , Pages 15-18

Subjects: Mathematical Physics (math-ph); Number Theory (math.NT)

[42] arXiv:math-ph/0210041 [pdf, other]

Title: On analyticity of incompressible viscid fluid flow in n-dimensional torus

O. Zubelevich

Comments: 15 pages, LaTeX2e

Subjects: Mathematical Physics (math-ph)

[43] arXiv:math-ph/0210042 [pdf, other]

Title: Spectral duality and distribution of exponents for transfer matrices of block tridiagonal Hamiltonians

L.Molinari

Comments: Revised text and new proposition added, relating counting function of exponents to winding numbers of eigenvalues. To appear on J. Phys. A: this http URL. 36 (2003)

Journal-ref: J. Phys. A: Math. Gen. 36 (2003) 4081-4090

Subjects: Mathematical Physics (math-ph); Condensed Matter (cond-mat)

[44] arXiv:math-ph/0210043 [pdf, other]

Title: Chern character, Hopf algebras, and BRS cohomology

Denis Perrot

Comments: 77 pages

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)

[45] arXiv:math-ph/0210044 [pdf, other]

Title: Choreographic Three Bodies on the Lemniscate

Toshiaki Fujiwara, Hiroshi Fukuda, Hiroshi Ozaki

Journal-ref: J. Phys. A36, 2791--2800 (2003)

Subjects: Mathematical Physics (math-ph)

[46] arXiv:math-ph/0210045 [pdf, other]

Title: Non-linear stability of gaseous stars

Gerhard Rein

Comments: 18 pages, LaTeX

Journal-ref: Arch. Rational Mech. Anal. 168 (2003) 2, 115-130

Subjects: Mathematical Physics (math-ph); Astrophysics (astro-ph); Analysis of PDEs (math.AP)

[47] arXiv:math-ph/0210046 [pdf, other]

Title: Upper and lower limits for the number of S-wave bound states in an attractive potential

F. Brau (U. of Mons, Belgium), F. Calogero (U. of Roma, Italy)

Comments: 21 pages, 4 figures, to appear in J. Math. Phys

Journal-ref: J. Math. Phys. 44, 1554-1575 (2003)

Subjects: Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[48] arXiv:math-ph/0210047 [pdf, other]

Title: Integrated density of states for ergodic random Schr\"odinger operators on manifolds

Norbert Peyerimhoff, Ivan Veselić

Comments: LaTeX 2e, amsart, 17 pages; appeared in a somewhat different form in Geometriae Dedicata, 91 (1): 117-135, (2002)

Journal-ref: Geometriae Dedicata, 91 (1): 117-135, (2002)

Subjects: Mathematical Physics (math-ph); Spectral Theory (math.SP)

[49] arXiv:math-ph/0210048 [pdf, other]

Title: Z-measures on partitions and their scaling limits

Alexei Borodin, Grigori Olshanski

Comments: AMSTeX, 37 pages

Journal-ref: European J. Combin. 26 (2005), no. 6, 795--834

Subjects: Mathematical Physics (math-ph); Classical Analysis and ODEs (math.CA); Combinatorics (math.CO); Probability (math.PR); Representation Theory (math.RT); Exactly Solvable and Integrable Systems (nlin.SI)

[50] arXiv:math-ph/0210049 [pdf, other]

Title: A weaker geodesic completeness and Clifton-Pohl torus

Claudio Meneghini

Subjects: Mathematical Physics (math-ph)