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 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 mathematical physicists and graduate students in a number of areas.

Preface 
- 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

배송정보

교환/반품 정보