Asymptotic Combinatorics with Applications to Mathematical Physics
A European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001
(Sprache: Englisch)
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...
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Klappentext zu „Asymptotic Combinatorics with Applications to Mathematical Physics “
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.
Inhaltsverzeichnis zu „Asymptotic Combinatorics with Applications to Mathematical Physics “
IntroductionPart 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
Bibliographische Angaben
- 2003, 260 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Herausgegeben: Anatoly M. Vershik
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540403124
- ISBN-13: 9783540403128
- Erscheinungsdatum: 20.06.2003
Sprache:
Englisch
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