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Table of contents (10 chapters)
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Front Matter
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Random matrices, orthogonal polynomials and Riemann — Hilbert problem
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Algebraic geometry,symmetric functions and harmonic analysis
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Back Matter
Keywords
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Asymptotic Combinatorics with Applications to Mathematical Physics
Book Subtitle: A European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001
Editors: Anatoly M. Vershik, Yuri Yakubovich
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/3-540-44890-X
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2003
Softcover ISBN: 978-3-540-40312-8Published: 20 June 2003
eBook ISBN: 978-3-540-44890-7Published: 03 July 2003
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 250
Topics: Applications of Mathematics, Physics, general, Combinatorics, Group Theory and Generalizations, Functional Analysis, Partial Differential Equations