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Asymptotic Combinatorics with Applications to Mathematical Physics

Asymptotic Combinatorics with Applications to Mathematical Physics PDF Author: Anatoly M. Vershik
Publisher: Springer
ISBN: 354044890X
Category : Mathematics
Languages : en
Pages : 245

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Book 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.