Asymptotic combinatorics with application to mathematical physics

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Asymptotic combinatorics with application to mathematical physics / edited by Vadim Malyshev and Anatoly Vershik

資料種別:

図書

出版情報:

Dordrecht : Kluwer Academic, c2002

形態:

xv, 327 p. ; 25 cm

シリーズ名:

NATO science series ; Sub-series II . Mathematics, physics and chemistry ; v. 77 <BA40559140>

著者名:

ISBN:

9781402007927 [1402007922]

書誌ID:

BA58647292

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

その他の標題:

Proceedings of the NATO Advanced Study Institute on Asymptotic Combinatorics with Application to Mathematical Physics, St. Petersburg, Russia, 9-22 July 2001

言語:

英語

目次情報:

Preface

Program

List of participants

Matrix Models and Graph Enumeration / Part 1：

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

Integrable Models (of Statistical Physics and Quantum Field Theory) / Part 2：

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

Representation Theory / Part 3：

Notes on homogeneous vector bundles over complex flag manifolds / S. Igonin

Representations Theory and Doubles of Yangians of Classical Lie Superalgebras / V. Stukopin

Idempotent (asymptotic) Mathematics and the Representation theory / G. L. Litvinov ; G. B. Shpiz

A new approach to Berezin kernels and canonical representations / G. van Dijk

Theta Hypergeometric Series / V. P. Spiridonov

Preface

Program

List of participants

Matrix Models and Graph Enumeration / Part 1：

Matrix Quantum Mechanics / V. Kazakov

Introduction to matrix models / E. Brezin

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