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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 /
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Catalogue Information
Field name
Details
Dewey Class
519
Title
Asymptotic Combinatorics with Applications to Mathematical Physics ([EBook] :) : A European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia July 9–20, 2001 / / edited by Anatoly M. Vershik, Yuri Yakubovich.
Added Personal Name
Vershik, Anatoly M.
editor.
Yakubovich, Yuri
editor.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg, , 2003.
Physical Details
X, 250 p. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 1815
ISBN
9783540448907
Summary Note
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.:
Contents note
Random matrices, orthogonal polynomials and Riemann — Hilbert problem -- Asymptotic representation theory and Riemann — Hilbert problem -- Four Lectures on Random Matrix Theory -- Free Probability Theory and Random Matrices -- Algebraic geometry,symmetric functions and harmonic analysis -- A Noncommutative Version of Kerov’s Gaussian Limit for the Plancherel Measure of the Symmetric Group -- Random trees and moduli of curves -- An introduction to harmonic analysis on the infinite symmetric group -- Two lectures on the asymptotic representation theory and statistics of Young diagrams -- III Combinatorics and representation theory -- Characters of symmetric groups and free cumulants -- Algebraic length and Poincaré series on reflection groups with applications to representations theory -- Mixed hook-length formula for degenerate a fine Hecke algebras.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/3-540-44890-X
Links to Related Works
Subject References:
Applications of Mathematics
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Applied mathematics
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Combinatorics
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Engineering mathematics
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Functional Analysis
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Group theory
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Group Theory and Generalizations
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Mathematics
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Partial differential equations
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Physics
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Physics, general
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Authors:
Vershik, Anatoly M.
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Yakubovich, Yuri
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
519
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