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

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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

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	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