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Titolo: |
Asymptotic Combinatorics with Applications to Mathematical Physics [[electronic resource] ] : A European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001 / / edited by Anatoly M. Vershik
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Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 |
Edizione: | 1st ed. 2003. |
Descrizione fisica: | 1 online resource (X, 250 p.) |
Disciplina: | 510 s |
530.15/16 | |
Soggetto topico: | 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 | |
Persona (resp. second.): | VershikAnatoly M |
Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di bibliografia: | Includes bibliographical references. |
Nota di contenuto: | 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 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. |
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. |
Titolo autorizzato: | Asymptotic combinatorics with applications to mathematical physics ![]() |
ISBN: | 3-540-44890-X |
Formato: | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 996466527803316 |
Lo trovi qui: | Univ. di Salerno |
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