Mathematics

Authors and titles for May 2000

[1] arXiv:math-ph/0005001 [pdf, other]

Title: Classical phase space structure induced by spontaneous symmetry breaking

M. Grigorescu

Comments: Related articles: Phys. Rev. C54 706 (1996), C57 1218 (1998)

Journal-ref: proc. NATO ASI "Frontier Topics in Nuclear Physics", Ed. W. Scheid and A. Sandulescu, (Plenum, NY) 1994, p. 491

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); Nuclear Theory (nucl-th); Quantum Physics (quant-ph)

[2] arXiv:math-ph/0005002 [pdf, other]

Title: Generating-function method for fusion rules

L. Begin, C. Cummins, P. Mathieu

Comments: Harvmac (b mode : 47 p) and Pictex; to appear in J. Math. Phys

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

[3] arXiv:math-ph/0005003 [pdf, other]

Title: Generating-function method for tensor products

L. Bégin (Laval), C. Cummins (Concordia), P. Mathieu (Laval)

Comments: Harvmac (b mode : 39 p) and Pictex; this is a substantially reduced version of hep-th/9811113 (with new title); to appear in J. Math. Phys

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

[4] arXiv:math-ph/0005004 [pdf, other]

Title: Fusion bases for affine Lie algebras

Luc Begin, Chris Cummins, P. Mathieu

Comments: Latex and Fizik, 12 p. Talk presented by PM at the 6-th Wigner symposium, Istambul, Aug 1999

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

[5] arXiv:math-ph/0005005 [pdf, other]

Title: Jacobi equations using a variational principle

H. N. Núñez-Yépez, A. L. Salas-Brito

Comments: 7 pages, no figures

Journal-ref: Phys. Lett A v. 275 (2000) 218-222

Subjects: Mathematical Physics (math-ph); Differential Geometry (math.DG); Dynamical Systems (math.DS); Exactly Solvable and Integrable Systems (nlin.SI); Classical Physics (physics.class-ph)

[6] arXiv:math-ph/0005006 [pdf, other]

Title: A Time-Dependent Born-Oppenheimer Approximation with Exponentially Small Error Estimates

George A. Hagedorn, Alain Joye

Subjects: Mathematical Physics (math-ph)

[7] arXiv:math-ph/0005007 [pdf, other]

Title: Open problems for the superKdV equations

Pierre Mathieu

Comments: harvmac, 13 p. (b); talk presented at AARMS-CRM Workshop on Backlund and Darboux Transformations: The geometry of Soliton Theory. June 4-9, 1999 (Halifax, Nova Scotia)

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

[8] arXiv:math-ph/0005008 [pdf, other]

Title: Six-Vertex Model with Domain Wall Boundary Conditions and One-Matrix Model

P. Zinn-Justin

Comments: 16 pages, 3 figures

Journal-ref: Phys. Rev. E 62 (2000), 3411

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Exactly Solvable and Integrable Systems (nlin.SI)

[9] arXiv:math-ph/0005009 [pdf, other]

Title: Cohomology of the infinite-order jet space

G.Giachetta, L.Mangiarotti, G.Sardanashvily

Comments: 10 pages

Subjects: Mathematical Physics (math-ph); Algebraic Topology (math.AT)

[10] arXiv:math-ph/0005010 [pdf, other]

Title: Cohomology of the variational complex

G.Giachetta, L.Mangiarotti, G.Sardanashvily

Comments: 21 pages

Subjects: Mathematical Physics (math-ph); Algebraic Topology (math.AT)

[11] arXiv:math-ph/0005011 [pdf, other]

Title: A new class of entanglement measures

Oliver Rudolph

Comments: Revised version accepted by J Math Phys, 12 pages, LaTeX, contains Sections 1-5 & 7 of the previous version. The previous Section 6 is now in quant-ph/0105104 and the previous Section 8 is superseded by quant-ph/0105017

Journal-ref: Journal of Mathematical Physics 42 (2001), 5306-5314.

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

[12] arXiv:math-ph/0005012 [pdf, other]

Title: Conjecture on the Interlacing of Zeros in Complex Sturm-Liouville Problems

C. M. Bender (Washington U), S. Boettcher (Emory U), V. M. Savage (Washington U)

Comments: 13 pages, RevTex, 6 figures, for related papers, see this http URL

Journal-ref: J.Math.Phys. 41 (2000) 6381

Subjects: Mathematical Physics (math-ph); Condensed Matter (cond-mat); High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)

[13] arXiv:math-ph/0005013 [pdf, other]

Title: The Structure of Lie Algebras and the Classification Problem for Partial Differential Equations

P. Basarab-Horwath, V. Lahno, R. Zhdanov

Comments: 45 pages

Subjects: Mathematical Physics (math-ph)

[14] arXiv:math-ph/0005014 [pdf, other]

Title: The electromagnetic self-force on a charged spherical body slowly undergoing a small, temporary displacement from a position of rest

V. Hnizdo

Comments: REVTeX, 15 pages, 3 figures, accepted by J. Phys. A

Journal-ref: J. Phys. A 33, 4095-4103 (2000)

Subjects: Mathematical Physics (math-ph); Classical Physics (physics.class-ph)

[15] arXiv:math-ph/0005015 [pdf, other]

Title: A generalization of Gordon's theorem and applications to quasiperiodic Schr\"odinger operators

David Damanik (Caltech), Günter Stolz (UAB)

Comments: 8 pages

Journal-ref: Electron. J. Diff. Eqns. 2000 (2000), No. 55, pp. 1-8

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

[16] arXiv:math-ph/0005016 [pdf, other]

Title: Generalized Master Function Approach to Quasi-Exactly Solvable Models

M.A.Jafarizadeh, S. J. Akhtarshenas

Comments: 21 Pages

Subjects: Mathematical Physics (math-ph)

[17] arXiv:math-ph/0005017 [pdf, other]

Title: Global Bounds for the Lyapunov Exponent and the Integrated Density of States of Random Schr\"odinger Operators in One Dimension

Vadim Kostrykin, Robert Schrader

Comments: 9 pages

Journal-ref: J. Phys. A: Math. Gen. 33 (2000) 8231 - 8240

Subjects: Mathematical Physics (math-ph)

[18] arXiv:math-ph/0005018 [pdf, other]

Title: Reflection symmetries of almost periodic functions

David Damanik (Caltech), Rowan Killip (Caltech)

Comments: 6 pages

Journal-ref: J. Funct. Anal. 178 (2000), 251-257

Subjects: Mathematical Physics (math-ph); Functional Analysis (math.FA)

[19] arXiv:math-ph/0005019 [pdf, other]

Title: 2 and 3-dimensional Hamiltonians with Shape Invariance Symmetry

M.A.Jafarizadeh, H. Panahi-Talemi, E. Faizi

Comments: 24 Pages

Subjects: Mathematical Physics (math-ph)

[20] arXiv:math-ph/0005020 [pdf, other]

Title: On p-adic path integral

Branko Dragovich

Comments: 5 pages

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

[21] arXiv:math-ph/0005021 [pdf, other]

Title: The non-dynamical r-matrices of the degenerate Calogero-Moser models

L. Feher, B.G. Pusztai

Comments: 25 pages, LaTeX; expanded by an appendix detailing the proof of Theorem 1 and a concluding section in version 2

Journal-ref: J.Phys. A33 (2000) 7739-7759

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

[22] arXiv:math-ph/0005022 [pdf, other]

Title: Some Remarks Concerning the Feynman "Integral over All Paths" Method

Jan Łopuszański (Wroclaw University)

Comments: LateX, 7 pages

Subjects: Mathematical Physics (math-ph)

[23] arXiv:math-ph/0005023 [pdf, other]

Title: Quaternionic differential operators

S. De Leo (DMA-Unicamp), G.C. Ducati (DM-Ufpr)

Comments: 25 pages, AMS-TeX

Journal-ref: J. Math. Phys. 42, 2236-2265 (2001)

Subjects: Mathematical Physics (math-ph)

[24] arXiv:math-ph/0005024 [pdf, other]

Title: The so-called renormalization group method applied to the specific prime number logarithmic decrease

A. Peterman (Theory Division, CERN, Geneva)

Comments: 6 pages, latex

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

[25] arXiv:math-ph/0005025 [pdf, other]

Title: On p-Adic Functional Integration

Goran S. Djordjevic, Branko Dragovich

Comments: 8 pages, Proceedings of the II Mathematical Conference in Pristina (Yugoslavia, Pristina, September 25-28, 1996)

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

[26] arXiv:math-ph/0005026 [pdf, other]

Title: p-Adic Path Integrals for Quadratic Actions

G. S. Djordjevic, B. Dragovich

Comments: 9 pages

Journal-ref: Mod.Phys.Lett. 12 (1997) 1455-1463

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

[27] arXiv:math-ph/0005027 [pdf, other]

Title: Supersymmetry and Homotopy

Serge Maumary, Izumi Ojima

Subjects: Mathematical Physics (math-ph); Algebraic Topology (math.AT)

[28] arXiv:math-ph/0005028 [pdf, other]

Title: Feynman Equation in Hamiltonian Quantum Field Theory

Alexander Dynin (Ohio State University)

Comments: 20 pages

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Functional Analysis (math.FA); Quantum Physics (quant-ph)

[29] arXiv:math-ph/0005029 [pdf, other]

Title: Exercises in exact quantization

A. Voros (CEA/Saclay, SPhT, France)

Comments: latex this http URL, 2 files, 34 pages [SPhT-T00/078]; v2: corrections and updates as indicated by footnotes

Journal-ref: J.Phys. A33 (2000) 7423-7450

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

[30] arXiv:math-ph/0005030 [pdf, other]

Title: Waveguides coupled through a semitransparent barrier: a Birman-Schwinger analysis

Pavel Exner, David Krejcirik

Comments: LaTeX, 35 pages, to appear in Rev. Math. Phys

Journal-ref: Rev.Math.Phys. 13 (2001) 307-334

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

[31] arXiv:math-ph/0005031 [pdf, other]

Title: Existence and measure of ergodic leaves in Novikov's problem on the semiclassical motion of an electron

Roberto De Leo

Comments: 3 pages

Journal-ref: Russian Math Surveys, 56(6), 1999

Subjects: Mathematical Physics (math-ph)

[32] arXiv:math-ph/0005032 [pdf, other]

Title: An Elementary Introduction to Groups and Representations

Brian C. Hall

Journal-ref: Expanded version published by Springer-Verlag, Graduate Texts in Mathematics #222, 2003

Subjects: Mathematical Physics (math-ph)

[33] arXiv:math-ph/0005033 [pdf, other]

Title: Higher regularity properties of mappings and morphisms

Steven Duplij (Kharkov National University), Wladyslaw Marcinek (University of Wroclaw)

Comments: 11 pages, Latex 2e (amsmath,amsfonts,amssymb)

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

[34] arXiv:math/0005001 [pdf, other]

Title: Multilinear weighted convolution of $L^2$ functions, and applications to non-linear dispersive equations

Terence Tao

Comments: 50 pages. An incorrect estimate has been fixed

Journal-ref: Amer. J. Math. 123 (2001), 839-908

Subjects: Analysis of PDEs (math.AP)

[35] arXiv:math/0005002 [pdf, other]

Title: Vassiliev invariants of Legendrian, of transverse and framed knots in contact 3-manifolds

Vladimir Tchernov

Comments: 32 pages, 7 Figures; This is a continuation of my researh described in math.SG/9907118

Journal-ref: Topology 42 (2003), no. 1, 1--33

Subjects: Symplectic Geometry (math.SG); Geometric Topology (math.GT)

[36] arXiv:math/0005003 [pdf, other]

Title: A Note on Regularized Shannon's Sampling Formulae

Liwen Qian, G. W. Wei

Comments: 10 pages

Subjects: Numerical Analysis (math.NA)

[37] arXiv:math/0005004 [pdf, other]

Title: Moment Inequalities for Symmetric Statistics

R. Ibragimov, Sh. Sharakhmetov

Comments: PDF file, in Russian

Journal-ref: "Modern Problems of Probability Theory and Mathematical Statistics; Proceedings of the 4th Fergana International Colloquium on Probability Theory and Mathematical Statistics held 27-29 September, 1995"; Tashkent, 2000, pp. 184-193

Subjects: Probability (math.PR); Functional Analysis (math.FA)

[38] arXiv:math/0005005 [pdf, other]

Title: The Derived Picard Group is a Locally Algebraic Group

Amnon Yekutieli

Comments: 4 pages, AMSLaTeX, to appear in Algebr. Represent. Theory

Subjects: Rings and Algebras (math.RA); Algebraic Geometry (math.AG); Representation Theory (math.RT)

[39] arXiv:math/0005006 [pdf, other]

Title: Triangular dynamical r-matrices and quantization

Ping Xu

Comments: LaTex, 43 pages, final version, typos corrected and references updated. Advances in Math, to appear

Subjects: Quantum Algebra (math.QA); Symplectic Geometry (math.SG)

[40] arXiv:math/0005007 [pdf, other]

Title: Period map for non-compact holomorphically symplectic manifolds

D. Kaledin, M. Verbitsky

Comments: LaTeX, 27 pages

Journal-ref: GAFA 12 (2002), no. 6, 1265--1295

Subjects: Algebraic Geometry (math.AG)

[41] arXiv:math/0005008 [pdf, other]

Title: On the Asymptotics of Takeuchi Numbers

Thomas Prellberg

Comments: latex file with 13 pages, 2 postscript figures included

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

[42] arXiv:math/0005009 [pdf, other]

Title: Collapsing and Dirac-Type Operators

John Lott

Comments: 19 pages, Theorem 5 improved, some details of proof given

Subjects: Differential Geometry (math.DG)

[43] arXiv:math/0005010 [pdf, other]

Title: Fermionic form and Betti numbers

G. Lusztig

Comments: 7 pages, amstex; a misprint in Section 6 and one just before Section 8 is corrected

Subjects: Quantum Algebra (math.QA)

[44] arXiv:math/0005011 [pdf, other]

Title: Essential self-adjointness of symmetric linear relations associated to first order systems

Matthias Lesch

Comments: Version June 2000, previous version superceded, one section added

Journal-ref: Journees "Equations aux Derivee Partielles" (La Chapelle sur Erdre, 2000), Exp. No. X, 18pp, Univ. Nantes, Nantes, 2000

Subjects: Spectral Theory (math.SP); Differential Geometry (math.DG)

[45] arXiv:math/0005012 [pdf, other]

Title: Nef divisors in codimension one on the moduli space of stable curves

Atsushi Moriwaki

Comments: 30 pages, simplify the main result, add questions

Subjects: Algebraic Geometry (math.AG)

[46] arXiv:math/0005013 [pdf, other]

Title: Functions of Baire class one

Denny H. Leung, Wee-Kee Tang

Subjects: Classical Analysis and ODEs (math.CA); Functional Analysis (math.FA)

[47] arXiv:math/0005014 [pdf, other]

Title: Amenability and exactness for dynamical systems and their C*-algebras

C. Anantharaman-Delaroche (U. of Orleans)

Comments: 16 pages, Ams-Tex, minor grammatical changes

Subjects: Operator Algebras (math.OA)

[48] arXiv:math/0005015 [pdf, other]

Title: On the distribution of points of bounded height on equivariant compactifications of vector groups

Antoine Chambert-Loir, Yuri Tschinkel

Comments: The theorem proven is a bit more general than in version 1. Clarification and reorganization of some parts of the paper

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

[49] arXiv:math/0005016 [pdf, other]

Title: On some aspects of the Deligne-Simpson problem

Vladimir Petrov Kostov

Comments: To appear in a volume of ``Trudy Seminara Arnol'da''

Journal-ref: Journal of Dynamical and Control Systems, vol. 9, No. 3, July 2003, 393-436

Subjects: Algebraic Geometry (math.AG); Rings and Algebras (math.RA); Representation Theory (math.RT)

[50] arXiv:math/0005017 [pdf, other]

Title: Vector bundles on the cubic threefold

Arnaud Beauville

Comments: 19 pages, TeX with xy-pic

Subjects: Algebraic Geometry (math.AG)