Asymptotic combinatorics with applications to mathematical physics
Subtitle: a European mathematical summer school held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001
By: Anatoly M. Vershik (ed.).
Contributors: Vershik, A. M. 1933-
Series: Lecture notes in mathematics -- 1815; Lecture notes in mathematics (Springer-Verlag) -- 1815.
Publisher: Springer
Published: 2003
Place of publication: Berlin; New York
Language: eng
Number of pages: 245
Subjects: Combinatorial analysis -- Congresses; Asymptotic expansions -- Congresses; Mathematical physics -- Congresses
Genres: Congresses.
Description: 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.
Notes: Includes bibliographical references.