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- catalog abstract "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.".
- catalog contributor b12940385.
- catalog contributor b12940386.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog 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.".
- catalog description "Includes bibliographical references.".
- catalog description "Introduction -- Part I: Random matrices, orthogonal polynomials and Riemann-Hilbert problem: A. Borodin: Asymptotic representation theory and Riemann-Hilbert problem; P. Deift: Four lectures on Random Matrix Theory; R. Speicher: Free Probability Theory and Random Matrices -- Part II: Algebraic geometry, symmetric functions and harmonic analysis: A. Hora: A Noncommutative Version of Kerov's Gaussian Limit for the Plancherel Measure of the Symmetric Group; A. Okounkov: Random tress and moduli of curves; G. Olshanski: An introduction to harmonic analysis on the infinite symmetric group; A. Vershik: Two lectures on the asymptotic representation theory and statistics of Young diagrams -- Part III: Combinatorics and representation theory: P. Biane: Characters of symmetric groups and free cumulants; M. Bozejko and R. Szwarc: Algebraic length and Poincaré series on reflection groups with applications to representation theory; M. Nazarov: Mixed hook-length formula for degenerate affine Hecke algebras; Addendum: Information about the school.".
- catalog extent "x, 245 p. :".
- catalog identifier "3540403124 (softcover : acid-free paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1815.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1815".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "510 s 530.15/16 21".
- catalog subject "Asymptotic expansions Congresses.".
- catalog subject "Combinatorial analysis Congresses.".
- catalog subject "Combinatorics.".
- catalog subject "Differential equations, partial.".
- catalog subject "Distribution (Probability theory).".
- catalog subject "Functional analysis.".
- catalog subject "Group theory.".
- catalog subject "Mathematical physics Congresses.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1815 QC20.7.C58".
- catalog tableOfContents "Introduction -- Part I: Random matrices, orthogonal polynomials and Riemann-Hilbert problem: A. Borodin: Asymptotic representation theory and Riemann-Hilbert problem; P. Deift: Four lectures on Random Matrix Theory; R. Speicher: Free Probability Theory and Random Matrices -- Part II: Algebraic geometry, symmetric functions and harmonic analysis: A. Hora: A Noncommutative Version of Kerov's Gaussian Limit for the Plancherel Measure of the Symmetric Group; A. Okounkov: Random tress and moduli of curves; G. Olshanski: An introduction to harmonic analysis on the infinite symmetric group; A. Vershik: Two lectures on the asymptotic representation theory and statistics of Young diagrams -- Part III: Combinatorics and representation theory: P. Biane: Characters of symmetric groups and free cumulants; M. Bozejko and R. Szwarc: Algebraic length and Poincaré series on reflection groups with applications to representation theory; M. Nazarov: Mixed hook-length formula for degenerate affine Hecke algebras; Addendum: Information about the school.".
- catalog title "Asymptotic combinatorics with applications to mathematical physics : a European mathematical summer school held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001 / Anatoly M. Vershik (ed.).".
- catalog type "text".