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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 :  A European Mathematical Summer School Held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001 - A. M. Vershik

Asymptotic Combinatorics with Applications to Mathematical Physics : A European Mathematical Summer School Held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001

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

By: A. M. Vershik (Editor)

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Published: August 2003
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Introduction.- Part I: Random matrices, orthogonal polynomials and Riemann-Hilbert problem: A. Borodin: Asymptotic representation theory and Riemann-Hilbert problem; P. Deift: Four lectures on Random Matrix Theory; R. Speicher: Free Probability Theory and Random Matrices.- Part II: Algebraic geometry, symmetric functions and harmonic analysis: A. Hora: A Noncommutative Version of Kerov's Gaussian Limit for the Plancherel Measure of the Symmetric Group; A. Okounkov: Random tress and moduli of curves; G. Olshanski: An introduction to harmonic analysis on the infinite symmetric group; A. Vershik: Two lectures on the asymptotic representation theory and statistics of Young diagrams.- Part III: Combinatorics and representation theory: P. Biane: Characters of symmetric groups and free cumulants; M. Bozejko and R. Szwarc: Algebraic length and Poincaré series on reflection groups with applications to representation theory; M. Nazarov: Mixed hook-length formula for degenerate affine Hecke algebras; Addendum: Information about the school.

Asymptotic representation theory and Riemann-Hilbert problemp. 3
Four Lectures on Random Matrix Theoryp. 21
Free Probability Theory and Random Matricesp. 53
A Noncommutative Version of Kerov's Gaussian Limit for the Plancherel Measure of the Symmetric Groupp. 77
Random trees and moduli of curvesp. 89
An introduction to harmonic analysis on the infinite symmetric groupp. 127
Two lectures on the asymptotic representation theory and statistics of Young diagramsp. 161
Characters of symmetric groups and free cumulantsp. 185
Algebraic length and Poincare series on reflection groups with applications to representations theoryp. 201
Mixed hook-length formula for degenerate affine Hecke algebrasp. 223
Information about the schoolp. 239
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540403128
ISBN-10: 3540403124
Series: Lecture Notes in Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 260
Published: August 2003
Dimensions (cm): 23.4 x 15.6  x 1.3
Weight (kg): 0.37