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  • © 2003

Asymptotic Combinatorics with Applications to Mathematical Physics

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

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

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Table of contents (10 chapters)

  1. Front Matter

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

    1. Four Lectures on Random Matrix Theory

      • Percy Deift
      Pages 21-52
  3. Part III Combinatorics and representation theory

  4. Back Matter

    Pages 239-246

About this book

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
  • combinatorics
  • partial differential equations

Editors and Affiliations

  • St. Petersburg Department of the Mathematical Institute, Russian Academy of Sciences, St. Petersburg, Russia

    Anatoly M. Vershik, Yuri Yakubovich

Bibliographic Information

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions