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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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
2003, 2003
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| Edition: | 1st ed. 2003 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
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| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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