Mathematics

Authors and titles for December 2004

[101] arXiv:math-ph/0412092 [pdf, other]

Title: Classification of real three-dimensional Lie bialgebras and their Poisson-Lie groups

A. Rezaei-Aghdam, M. Hemmati, A.R. Rastkar

Comments: 17 pages

Journal-ref: J.Phys.A: Math. Gen. 38(2005)3981-3994

Subjects: Mathematical Physics (math-ph)

[102] arXiv:math-ph/0412093 [pdf, other]

Title: Sufficiency in quantum statistical inference

Anna Jencova, Denes Petz

Journal-ref: Commun. Math. Phys. 263(2006), 259-276.

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

[103] arXiv:math-ph/0412094 [pdf, other]

Title: Wavelet differentiation of a noisy signal

I. Patrickeyev, R. Stepanov, P. Frick (Institute of Continuum Mechanics, Perm, Russia)

Comments: in Russian, 9 pages, 3 figures, submitted to Journal of Numerical Methods and Programming, this http URL

Subjects: Mathematical Physics (math-ph)

[104] arXiv:math-ph/0412095 [pdf, other]

Title: Inequivalent quantizations of the three-particle Calogero model constructed by separation of variables

L. Feher, I. Tsutsui, T. Fulop

Comments: 45 pages, 6 figures, LaTeX, v2: a reference and a note added, v3: merely a constant is corrected

Journal-ref: Nucl.Phys. B715 (2005) 713-757

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

[105] arXiv:math-ph/0412096 [pdf, other]

Title: Gauge Transformations and Inverse Quantum Scattering with Medium-Range Magnetic Fields

Wolf Jung

Comments: 30+2 pages, updated with minor changes, new appendix contains a preview of the sequel paper

Journal-ref: MPEJ vol 11, No 5, December 2005, 32 pp.

Subjects: Mathematical Physics (math-ph)

[106] arXiv:math-ph/0412097 [pdf, other]

Title: Scattering theory of discrete (pseudo) Laplacians on a Weyl chamber

J.F. van Diejen

Comments: 31 pages, LaTeX

Journal-ref: American Journal of Mathematics 127, no. 2 (2005), 421--458

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

[107] arXiv:math-ph/0412098 [pdf, other]

Title: Zero modes in a system of Aharonov-Bohm fluxes

V.A. Geyler, P. Stovicek

Journal-ref: Rev.Math.Phys.16:851-907,2004

Subjects: Mathematical Physics (math-ph)

[108] arXiv:math/0412001 [pdf, other]

Title: Cyclic structures for simplicial objects from comonads

Zoran Skoda

Comments: 18 pages; preliminary version

Subjects: Category Theory (math.CT); Quantum Algebra (math.QA)

[109] arXiv:math/0412002 [pdf, other]

Title: Rational curves of degree 10 on a general quintic threefold

Ethan Cotterill

Comments: The justification of Fact 1 on p. 10 has been made clearer; minor formatting issues and typos corrected. To appear in Communications in Algebra

Subjects: Algebraic Geometry (math.AG)

[110] arXiv:math/0412003 [pdf, other]

Title: Benford's Law, Values of L-functions and the 3x+1 Problem

Alex V. Kontorovich, Steven J. Miller

Comments: 25 pages, 1 figure; replacement of earlier draft (corrected some typos, added more exposition, added results for characteristic polynomials of unitary matrices)

Journal-ref: Acta Arithmetica 120 (2005), no. 3, 269-297

Subjects: Number Theory (math.NT); Probability (math.PR)

[111] arXiv:math/0412004 [pdf, other]

Title: Deformations of covers, Brill-Noether theory, and wild ramification

Brian Osserman

Comments: 8 pages

Subjects: Algebraic Geometry (math.AG)

[112] arXiv:math/0412005 [pdf, other]

Title: The Pearcey Process

Craig A. Tracy, Harold Widom

Comments: LaTeX 24 pages. Version 3 has an improved exposition and corrects a minor error

Journal-ref: Commun. Math. Phys. 263, 381-400 (2006)

Subjects: Probability (math.PR)

[113] arXiv:math/0412006 [pdf, other]

Title: The classification of Kleinian surface groups, II: The Ending Lamination Conjecture

Jeffrey F. Brock, Richard D. Canary, Yair N. Minsky

Comments: 143 pages. Comprehensive revision and inclusion of the incompressible ends case

Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG)

[114] arXiv:math/0412007 [pdf, other]

Title: Non-Abelian L Functions for Function Fields

Lin Weng

Comments: 30 pages. to appear at Amer. J of Math

Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)

[115] arXiv:math/0412008 [pdf, other]

Title: Non-Abelian L Function for Number Fields

Lin Weng

Comments: 37 pages

Subjects: Algebraic Geometry (math.AG)

[116] arXiv:math/0412009 [pdf, other]

Title: Rank Two Non-Abelian Zeta and Its Zeros

Lin Weng

Comments: 136 pages

Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)

[117] arXiv:math/0412010 [pdf, other]

Title: Linear Transports along Paths in Vector Bundles. II. Some Applications

Bozhidar Z. Iliev (Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria)

Comments: 16 LaTeX pages. For related papers, visit the "publication" pages at this http URL

Journal-ref: Communication JINR, E5-93-260, Dubna, 1993

Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)

[118] arXiv:math/0412011 [pdf, other]

Title: Filling area conjecture, optimal systolic inequalities, and the fiber class in abelian covers

Mikhail G. Katz, Christine Lescop

Comments: 25 pages, 2 figures, Proceedings of conference and workshop in memory of R. Brooks, held at the Technion, Israel Mathematical Conference Proceedings (IMCP), Contemporary Mathematics 387, A.M.S

Subjects: Differential Geometry (math.DG); Geometric Topology (math.GT); Metric Geometry (math.MG)

[119] arXiv:math/0412012 [pdf, other]

Title: Compact Quantum Ergodic Systems

Reiji Tomatsu

Comments: 86 pages, minor correct

Subjects: Operator Algebras (math.OA); Quantum Algebra (math.QA)

[120] arXiv:math/0412013 [pdf, other]

Title: Homological Transcendence Degree

Amnon Yekutieli, James J. Zhang

Comments: 31 pages. Final version, to appear in Proc. London Math. Soc

Subjects: Rings and Algebras (math.RA)

[121] arXiv:math/0412014 [pdf, other]

Title: On the formal structure of logarithmic vector fields

Michel Granger, Mathias Schulze

Comments: 13 pages

Journal-ref: Comp. Math. 142 (2006), 765-778

Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV)

[122] arXiv:math/0412015 [pdf, other]

Title: A note on two identities arising from enumeration of convex polyominoes

Victor J. W. Guo, Jiang Zeng

Comments: 10 pages, to appear in J. Comput. Appl. Math; minor grammatical changes

Journal-ref: J. Comput. Appl. Math.180 (2005), 413--423

Subjects: Combinatorics (math.CO)

[123] arXiv:math/0412016 [pdf, other]

Title: The smash product of symmetric functions. Extended abstract

Marcelo Aguiar, Walter Ferrer, Walter Moreira

Comments: Extended abstract

Subjects: Combinatorics (math.CO); Quantum Algebra (math.QA); Rings and Algebras (math.RA)

[124] arXiv:math/0412017 [pdf, other]

Title: Laplacians on quotients of Cauchy-Riemann complexes and Szeg\"o map for $L^2$-harmonic forms

Bent Orsted, Genkai Zhang

Subjects: Representation Theory (math.RT); Complex Variables (math.CV)

[125] arXiv:math/0412018 [pdf, other]

Title: Frequently visited sets for random walks

Endre Csáki, Antónia Földes, Pál Révész, Jay Rosen, Zhan Shi

Comments: 19 pages

Subjects: Probability (math.PR)

[126] arXiv:math/0412019 [pdf, other]

Title: Pattern avoiding permutations are context-sensitive

Murray Elder

Subjects: Combinatorics (math.CO)

[127] arXiv:math/0412020 [pdf, other]

Title: When Soap Bubbles Collide

Colin Adams, Frank Morgan (Williams Coll), John M Sullivan (U Illinois and TU Berlin)

Comments: 9 pages, 5 figures, better proof of Prop 2.4. To appear in Amer. Math. Monthly

Subjects: Differential Geometry (math.DG)

[128] arXiv:math/0412021 [pdf, other]

Title: Equivariant periodic cyclic homology

Christian Voigt

Comments: 59 pages

Subjects: K-Theory and Homology (math.KT)

[129] arXiv:math/0412022 [pdf, other]

Title: On a theorem of Peters on automorphisms of Kahler surfaces

Weimin Chen

Comments: 9 pages, no figures

Subjects: Algebraic Geometry (math.AG); Symplectic Geometry (math.SG)

[130] arXiv:math/0412023 [pdf, other]

Title: Virtual Strings for Closed Curves with Multiple Components

William J. Schellhorn

Comments: 35 pages, 5 figures. No fundamental changes were made between the second and third versions. The third version contains some clarifications in the definitions and proofs that will hopefully improve understanding

Subjects: Geometric Topology (math.GT)

[131] arXiv:math/0412024 [pdf, other]

Title: From braid groups to mapping class groups

Luis Paris

Subjects: Group Theory (math.GR); Geometric Topology (math.GT)

[132] arXiv:math/0412025 [pdf, other]

Title: A shadowing lemma for abelian Higgs vortices

Marta Macri', Margherita Nolasco, Tonia Ricciardi

Comments: 18 pages

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

[133] arXiv:math/0412026 [pdf, other]

Title: Isomorphism rigidity of commuting automorphisms

Siddhartha Bhattacharya

Comments: 14 pages, no figures

Subjects: Dynamical Systems (math.DS)

[134] arXiv:math/0412027 [pdf, other]

Title: A Transform Method for Evolution PDEs on a Finite Interval

A.S. Fokas, B. Pelloni

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

[135] arXiv:math/0412028 [pdf, other]

Title: Revlex-Initial 0/1-Polytopes

Volker Kaibel, Rafael Mechtel

Comments: Accepted for publication in J. Comb. Theory Ser. A; 24 pages; simplified proof of Theorem 1; corrected and improved version of Theorem 4 (the average degree is now bounded by d+4 instead of d+8); several minor corrections suggested by the referees

Subjects: Combinatorics (math.CO)

[136] arXiv:math/0412029 [pdf, other]

Title: Boundary Value Problems for Linear PDEs with Variable Coefficients

A.S. Fokas

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

[137] arXiv:math/0412030 [pdf, other]

Title: Convex Imprecise Previsions: Basic Issues and Applications

Renato Pelessoni, Paolo Vicig

Comments: Proceedings of ISIPTA'03

Subjects: Probability (math.PR)

[138] arXiv:math/0412031 [pdf, other]

Title: The Basic Elliptic Equations in an Equilateral Triangle

G. Dassios, A.S. Fokas

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

[139] arXiv:math/0412032 [pdf, other]

Title: Associative submanifolds of a G2 manifold

Selman Akbulut, Sema Salur

Comments: 16 pages, 2 figures, revised version

Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG)

[140] arXiv:math/0412033 [pdf, other]

Title: On the arithmetic of tight closure

Holger Brenner, Mordechai Katzman

Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)

[141] arXiv:math/0412034 [pdf, other]

Title: A probabilistic representation of solutions of the incompressible Navier-Stokes equations in R3

M. Ossiander

Comments: 29 pages, 1 figure, to appear in Probability Theory and Related Fields

Subjects: Probability (math.PR); Analysis of PDEs (math.AP)

[142] arXiv:math/0412035 [pdf, other]

Title: Simulations of Gaussian Processes and Neuronal Modeling

Elvira Di Nardo, Amelia G. Nobile, Enrica Pirozzi, Luigi M. Ricciardi

Comments: Extended version of the paper published in Science and Supercomputing at CINECA - Report 2003 (Garofalo F., Moretti M., Voli M., eds.), 375-381. ISBN 88-86037-13-9

Subjects: Statistics Theory (math.ST)

[143] arXiv:math/0412036 [pdf, other]

Title: The Diophantine equations $ x^{n}_{1} +x^{n}_{2} +...+x^{n}_{r_{1}}= y ^{n}_{1} +y^{n}_{2} +...+y^{n}_{r_{2}} $

Michael A. Ivanov

Comments: 11 pages, no figure, Latex. Eprint of published paper of 1996

Journal-ref: Rend. Sem. Mat. Univ. Pol. Torino, Vol. 54, 1 (1996) pp 25-33

Subjects: Number Theory (math.NT); Commutative Algebra (math.AC)

[144] arXiv:math/0412037 [pdf, other]

Title: Riesz transform and Riesz potentials for Dunkl transform

Sundaram Thangavelu, Yuan Xu

Comments: 16 pages

Subjects: Classical Analysis and ODEs (math.CA)

[145] arXiv:math/0412038 [pdf, other]

Title: An elliptic generalization of Schur's Pfaffian identity

Soichi Okada

Comments: 7 pages

Subjects: Classical Analysis and ODEs (math.CA); Combinatorics (math.CO)

[146] arXiv:math/0412039 [pdf, other]

Title: The Riemann hypothesis for certain integrals of Eisenstein series

Jeffrey C. Lagarias, Masatoshi Suzuki

Comments: 23 pages; corrected residues of functions in theorem 1 and 2, added reference; v3 small corrections, removed uncited references; v4 more small corrections

Journal-ref: J. Number Theory 118 (2006) 98-122

Subjects: Number Theory (math.NT)

[147] arXiv:math/0412040 [pdf, other]

Title: A CLT for a band matrix model

Greg Anderson, Ofer Zeitouni

Comments: To appear, Prob. Theory Rel. Fields

Subjects: Probability (math.PR); Combinatorics (math.CO)

[148] arXiv:math/0412041 [pdf, other]

Title: A Simple Proof of the Aztec Diamond Theorem

Sen-Peng Eu, Tung-Shan Fu

Comments: 8 pages, 4 figures

Subjects: Combinatorics (math.CO)

[149] arXiv:math/0412042 [pdf, other]

Title: Quantization of formal classical dynamical r-matrices: the reductive case

Damien Calaque

Comments: 13 pages, 1 section added (classification of dynamical twists), LaTeX, final version, to appear in Adv. Math

Journal-ref: Adv. Math. 204 (2006), no. 1, 84-100

Subjects: Quantum Algebra (math.QA)

[150] arXiv:math/0412043 [pdf, other]

Title: Generalized Cauchy identities, trees and multidimensional Brownian motions. Part I: bijective proof of generalized Cauchy identities

Piotr Sniady

Comments: Version 2: numerous misprints were corrected. Version 3: bijections described in an algorithmic way

Journal-ref: Electron. J. Combin. 13(1), 2006, Research Paper 62

Subjects: Combinatorics (math.CO); Probability (math.PR)