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:
Authors:
Corporate Authors:
Series:
Classification:
|