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[null,"1.","Record Nr.",null,"UNINA9910146272903321"]
[null,null,"Titolo",null,"Asymptotic Combinatorics with Applications to Mathematical Physics : A European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001 / / edited by Anatoly M. Vershik"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003"]
[null,null,"ISBN",null,"3-540-44890-X"]
[null,null,"Edizione",null,"[1st ed. 2003.]"]
[null,null,"Descrizione fisica",null,"1 online resource (X, 250 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 1815"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"530.15/16"]
[null,null,"Soggetti",null,"Applied mathematics"]
[{"$nulls":4},"Engineering mathematics"]
[{"$nulls":4},"Physics"]
[{"$nulls":4},"Combinatorial analysis"]
[{"$nulls":4},"Group theory"]
[{"$nulls":4},"Functional analysis"]
[{"$nulls":4},"Differential equations, Partial"]
[{"$nulls":4},"Applications of Mathematics"]
[{"$nulls":4},"Physics, general"]
[{"$nulls":4},"Combinatorics"]
[{"$nulls":4},"Group Theory and Generalizations"]
[{"$nulls":4},"Functional Analysis"]
[{"$nulls":4},"Partial Differential Equations"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"Random matrices, orthogonal polynomials and Riemann — Hilbert problem -- Asymptotic representation theory and Riemann — Hilbert problem -- Four Lectures on Random Matrix Theory -- Free Probability Theory and Random Matrices -- Algebraic geometry,symmetric functions and harmonic analysis -- A Noncommutative Version of Kerov’s Gaussian Limit for the Plancherel Measure of the Symmetric Group -- Random trees and moduli of curves -- An introduction to harmonic analysis on the infinite symmetric group -- Two lectures on the asymptotic representation theory and statistics of Young diagrams -- III Combinatorics and representation theory -- Characters of "]
[{"$nulls":4},"symmetric groups and free cumulants -- Algebraic length and Poincaré series on reflection groups with applications to representations theory -- Mixed hook-length formula for degenerate a fine Hecke algebras."]
[null,null,null,"Sommario/riassunto","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."]