MathPhys Odyssey 2001
Integrable Models and Beyond - In Honor of Barry McCoy
Masaki Kashiwara, Tetsuji Miwa - Collection Progress in Mathematical Physics
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
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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