Asymptotic Combinatorics with Applications to Mathematical Physics A European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001 /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Vershik, Anatoly M. (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: Lecture Notes in Mathematics, 1815
• Subjects: Applied mathematics.; Engineering mathematics.; Physics.; Combinatorics.; Group theory.; Functional analysis.; Partial differential equations.; Applications of Mathematics.; Physics, general.; Group Theory and Generalizations.; Functional Analysis.; Partial Differential Equations.
• Physical Description: X, 250 p. online resource.
• ISBN: 9783540448907
• ISSN: 0075-8434 ;
• DOI: 10.1007/3-540-44890-X

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.