Asymptotic Combinatorics with Application to Mathematical Physics (Hardcover)

V.A. Malyshev

ISBN 10: 1402007922 / ISBN 13: 9781402007927

Editore: Kluwer Academic Publishers, New York, NY, 2002

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Hardcover. Results obtained during the end of the 20th century from an intensive study of asymptotic combinatorics have led to a 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. Proceedings of the NATO Advanced Study Institute, held in St.Petersburg, Russia, 9-22 July 2001 Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9781402007927

Dati bibliografici

• Titolo: Asymptotic Combinatorics with Application to Mathematical Physics (Hardcover)
• Editore: Kluwer Academic Publishers, New York, NY
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 1402007922
• ISBN 13: 9781402007927
• Rilegatura: Hardcover
• Condizione: new

Descrizione articolo

Riassunto

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.

Contenuti

Preface. Program. List of participants. Part One: Matrix Models and Graph Enumeration. Matrix Quantum Mechanics; V. Kazakov. Introduction to matrix models; E. Brézin. 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.