Asymptotic Combinatorics with Applications to Mathematical Physics (Paperback)
A European Mathematical Summer School Held at the Euler Institute, St. Petersburg, (Lecture Notes)
Springer, 9783540403128, 250pp.
Publication Date: June 20, 2003
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.