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MathPhys Odyssey 2001
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MathPhys Odyssey 2001

MathPhys Odyssey 2001

Integrable Models and Beyond - In Honor of Barry McCoy

Masaki Kashiwara, Tetsuji Miwa - Collection Progress in Mathematical Physics

476 pages, parution le 19/03/2004

Résumé

Developments in mathematical physics during the second half of the 20th century influenced a number of mathematical areas, among the more significant being representation theory, differential equations, combinatorics, and algebraic geometry. In all of them, the dynamic role of integrable models has been central, largely due to two essential properties: the fact that integrable models possess infinite degrees of freedom and infinite dimensional symmetries. This volume, dedicated to Barry M. McCoy on the occasion of his sixtieth birthday, focuses on the ongoing importance of integrability in covering the following topics: conformal field theory, massive quantum field theory, solvable lattice models, quantum affine algebras, the Painlev‚ equations and combinatorics.

Contributors: H. Au-Yang, R.J. Baxter, H.E. Boos, E. Date, K. Fabricius, V.A. Fateev, B. Feigin, G. Hatayama, A. Its, M. Jimbo, A. Kapaev, A.N. Kirillov, V.E. Korepin, A. Kuniba, J.M. Maillet, B.M. McCoy, C. Mercat, T. Miwa, A. Nakayashiki, M. Okado, C.H. Otto Chui, P.A. Pearce, J.H.H. Perk, V. Petkova, A. Schilling, F.A. Smirnov, T. Takagi, Y. Takeyama, M. Taneda, C.A. Tracy, Z. Tsuboi, H. Widom, J.-B. Zuber

MathPhys Odyssey 2001 will serve as an excellent reference text for researchers and graduate students in mathematical physics.

L'auteur - Masaki Kashiwara

Kashiwara, M., Kyoto University, Japan

L'auteur - Tetsuji Miwa

Miwa, T., Kyoto University, Japan

Sommaire

  • Wavevector-Dependent Susceptibilities in Aperiodic Planar Models
  • Correlation Functions and Susceptibility in the Z-Invariant Ising Model
  • A Rapidity-independent Parameter in the Star-Triangle Relation
  • Evaluation of Integrals Representing Correlations in XXX Heisenberg Spin Chain
  • A Note on Quotients of the Onsager Algebra
  • Evaluation Parameters and Bethe Roots for the Six Vertex Model at Roots of Unity
  • Normalization Factors, Reflection Amplitudes and Integrable Systems
  • Vertex Operator Algebra Arising from the Minimal Series M(3,p) and Monomial Basis
  • Paths Crystals and Fermionic Formulae
  • The Nonlinear Steepest Descent Approach to the Asymtpotis of the Second Painlev‚ Transcendent in the Complex Domain
  • Generalized Umemura Polynomials and Hirota-Miwa Equation
  • Correlation Functions of Quantum Integrable Models: The XXZ Spin Chain
  • On Form Factors of SU(2) Invariant Thirring Model
  • Integrable Boundaries and Universal TBA Functional Equations
  • Conformal Field Theories, Graphs and Quantum Algebras
  • q-Supernomial Coefficients: From Rigging to Ribbons
  • Separation of Variables for Quantum Integrable Models Related to Uq(slN)
  • On a Distribution Function Arising in Computational Biology
Voir tout
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Caractéristiques techniques

  PAPIER
Éditeur(s) Birkhäuser
Auteur(s) Masaki Kashiwara, Tetsuji Miwa
Collection Progress in Mathematical Physics
Parution 19/03/2004
Nb. de pages 476
Format 16 x 24
Couverture Relié
Poids 870g
Intérieur Noir et Blanc
EAN13 9780817642600
ISBN13 978-0-8176-4260-0

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