Title: Asymptotic combinatorics with applications to mathematical physics
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.
Subjects: Combinatorial analysis, Mathematical physics, Congresses, Asymptotic expansions, Mathematics, Group theory, Functional analysis, Differential equations, partial, Combinatorics, Distribution (Probability theory)