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Asymptotic Combinatorics with Application to Mathematical Physics

  • Vadim Malyshev
  • Anatoly Vershik

Part of the NATO Science Series book series (NAII, volume 77)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Matrix Models and Graph Enumeration

    1. Front Matter
      Pages 1-1
    2. Vladimir Kazakov
      Pages 3-21
    3. E. Brézin
      Pages 23-50
    4. V. A. Malyshev
      Pages 71-95
  3. Integrable Models (Of Statistical Physics And Quantum Field Theory)

  4. Representation Theory

    1. Front Matter
      Pages 243-243
    2. G. L. Litvinov, V. P. Maslov, G. B. Shpiz
      Pages 267-278
    3. V. P. Spiridonov
      Pages 307-327

About this book

Introduction

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.

Keywords

Combinatorics Eigenvalue Matrix Permutation Representation theory distribution mapping quantum mechanics vector bundle

Editors and affiliations

  • Vadim Malyshev
    • 1
  • Anatoly Vershik
    • 2
  1. 1.I.N.R.I.A.Le ChesnayFrance
  2. 2.Steklov Mathematical Institute of Russian Academy of SciencesSt. PetersburgRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-0575-3
  • Copyright Information Kluwer Academic Publishers 2002
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-0793-4
  • Online ISBN 978-94-010-0575-3
  • Series Print ISSN 1568-2609
  • Buy this book on publisher's site
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