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Asymptotic Combinatorics with Applications to Mathematical Physics

A European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia July 9–20, 2001

  • Anatoly M. Vershik
  • Yuri Yakubovich

Part of the Lecture Notes in Mathematics book series (LNM, volume 1815)

Also part of the European Mathematical Society book sub series (volume 1815)

Table of contents

  1. Front Matter
    Pages I-X
  2. Random matrices, orthogonal polynomials and Riemann — Hilbert problem

  3. Algebraic geometry,symmetric functions and harmonic analysis

  4. Part III Combinatorics and representation theory

  5. Back Matter
    Pages 239-246

About this book

Introduction

At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young diagrams with Plancherel measure; the corresponding central limit theorems; the combinatorics of modular curves and random trees with application to QFT; free probability and random matrices, and Hecke algebras.

Keywords

Measure Probability theory Riemann-Hilbert problem Young diagram characters of the representations mathematical physics spectrum of random matrices symmetric groups and functions

Editors and affiliations

  • Anatoly M. Vershik
    • 1
  • Yuri Yakubovich
    • 2
  1. 1.St. Petersburg Department of the Mathematical InstituteRussian Academy of SciencesSt. PetersburgRussia
  2. 2.St. Petersburg Department of the Mathematical InstituteRussian Academy of SciencesSt. PetersburgRussia

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-44890-X
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-40312-8
  • Online ISBN 978-3-540-44890-7
  • Series Print ISSN 0075-8434
  • Buy this book on publisher's site