Title | 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, Yuri Yakubovich |
---|---|
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 2003 |
Connect to | http://dx.doi.org/10.1007/3-540-44890-X |
Descript | X, 250 p. online resource |
Random matrices, orthogonal polynomials and Riemann โ Hilbert problem -- Asymptotic representation theory and Riemann โ 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 Kerovโs 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 Poincarรฉ series on reflection groups with applications to representations theory -- Mixed hook-length formula for degenerate a fine Hecke algebras