Description

Book Synopsis
Reproduces the doctoral thesis written by a remarkable mathematician, Sergei V Kerov. This book discusses the properties of the distribution of the normalized cycle length in a random permutation and the limiting shape of a random (with respect to the Plancherel measure) Young diagram.

Table of Contents
Introduction Boundaries and dimension groups of certain graphs The boundary of the Young graph and MacDonald polynomials The Plancherel measure of the symmetric group Young diagrams in problems of analysis References Comments on Kerov's thesis by G. Olshanski Additional references.

Asymptotic Representation Theory of the Symmetric

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    A Hardback by American Mathem American Mathem

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      View other formats and editions of Asymptotic Representation Theory of the Symmetric by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: 6/30/2003 12:00:00 AM
      ISBN13: 9780821834404, 978-0821834404
      ISBN10: 0821834401

      Description

      Book Synopsis
      Reproduces the doctoral thesis written by a remarkable mathematician, Sergei V Kerov. This book discusses the properties of the distribution of the normalized cycle length in a random permutation and the limiting shape of a random (with respect to the Plancherel measure) Young diagram.

      Table of Contents
      Introduction Boundaries and dimension groups of certain graphs The boundary of the Young graph and MacDonald polynomials The Plancherel measure of the symmetric group Young diagrams in problems of analysis References Comments on Kerov's thesis by G. Olshanski Additional references.

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