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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.
Added Personal Name	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 . Applied mathematics . Combinatorics . Engineering mathematics . Functional Analysis . Group theory . Group Theory and Generalizations . Mathematics . Partial differential equations . Physics . Physics, general . Authors: Vershik, Anatoly M. . Yakubovich, Yuri . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 519 .

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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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