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MARC 21

Asymptotic Combinatorics with Applications to Mathematical Physics: A European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia July 9–20, 2001 /
Tag	Description
020	$a9783540448907$9978-3-540-44890-7
082	$a519$223
099	$aOnline resource: Springer
245	$aAsymptotic Combinatorics with Applications to Mathematical Physics$h[EBook] :$bA European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia July 9–20, 2001 /$cedited by Anatoly M. Vershik, Yuri Yakubovich.
260	$aBerlin, Heidelberg :$bSpringer Berlin Heidelberg,$c2003.
300	$aX, 250 p.$bonline resource.
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
440	$aLecture Notes in Mathematics,$x0075-8434 ;$v1815
505	$aRandom 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.
520	$aAt 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700	$aVershik, Anatoly M.$eeditor.
700	$aYakubovich, Yuri.$eeditor.
710	$aSpringerLink (Online service)
830	$aLecture Notes in Mathematics,$x0075-8434 ;$v1815
856	$uhttp://dx.doi.org/10.1007/3-540-44890-X