Asymptotic combinatorics with application to mathematical physics
著者
書誌事項
Asymptotic combinatorics with application to mathematical physics
（NATO science series, Sub-series II . Mathematics,
Kluwer Academic, c2002
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Proceedings of the NATO Advanced Study Institute on Asymptotic Combinatorics with Application to Mathematical Physics, St. Petersburg, Russia, 9-22 July 2001
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内容説明・目次
内容説明
New and striking results obtained in recent years from an intensive study of asymptotic combinatorics have led to a new, higher level of understanding of related problems: the theory of integrable systems, the Riemann-Hilbert problem, asymptotic representation theory, spectra of random matrices, combinatorics of Young diagrams and permutations, and even some aspects of quantum field theory.
目次
- Preface. Program. List of participants. Part One: Matrix Models and Graph Enumeration. Matrix Quantum Mechanics
- V. Kazakov. Introduction to matrix models
- E. Brezin. A Class of the Multi-Interval Eigenvalue Distributions of Matrix Models and Related Structures
- V. Buslaev, L. Pastur. Combinatorics and Probability of Maps
- V.A. Malyshev. The Combinatorics of Alternating Tangles: from theory to computerized enumeration
- J.L. Jacobsen, P. Zinn-Justin. Invariance Principles for Non-uniform Random Mappings and Trees
- D. Aldous, J. Pitman. Part Two: Integrable Models (of Statistical Physics and Quantum Field Theory). Renormalization group solution of fermionic Dyson model
- M.D. Missarov. Statistical Mechanics and Number Theory
- H.E. Boos, V.E. Korepin. Quantization of Thermodynamics and the Bardeen-Cooper-Schriffer-Bogolyubov Equation
- V.P. Maslov. Approximate Distribution of Hitting Probabilities for a Regular Surface with Compact Support in 2D
- D.S. Grebenkov. Part Three: Representation Theory. Notes on homogeneous vector bundles over complex flag manifolds
- S. Igonin. Representation Theory and Doubles of Yangians of Classical Lie Superalgebras
- V. Stukopin. Idempotent (asymptotic) Mathematics and the Representation theory
- G.L. Litvinov, et al. A new approach to Berezin kernels and canonical representations
- G. van Dijk. Theta Hypergeometric Series
- V.P. Spiridonov.
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