Lecture Notes in Mathematics: A European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001

Vershik, Anatoly M.

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.

Details

Published by: Springer

Publication Date: 2003-06-20

Format: Paperback

ISBN-13: 9783540403128

DOI: 10.1007/3-540-44890-X

Dimensions: 235cm x155cm

Pages: 250