Asymptotic Combinatorics with Applications to Mathematical Physics : A European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia July 9 20, 2001
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...
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| Edition sous un autre format: | • 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.), 2003, Berlin, Springer, 1 vol. (X-245 p.), Lecture notes in mathematics, 3-540-40312-4 • Asymptotic Combinatorics with Applications to Mathematical Physics, Texte imprimé, 9783662204078 |
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| 245 | 0 | 0 | |a Asymptotic Combinatorics with Applications to Mathematical Physics : |b A European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia July 9 20, 2001 |c Anatoly M. Vershik (ed.). |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1815 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
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| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Analyse combinatoire | ||
| 650 | |a Matrices aléatoires | ||
| 650 | |a Polynômes orthogonaux | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Physique mathématique | ||
| 650 | |a Actes de congrès | ||
| 700 | 1 | |a Veršik, Anatolij M. |4 pbd | |
| 710 | 2 | |a European Mathematical Summer School |d (2001 |c :Saint-Petersbourg). |4 aut | |
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