Asymptotic Combinatorics with Applications to Mathematical Physics: A European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001 (Google eBook)
Springer Science & Business Media
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Anal asymptotic representation theory automorphism Borodin branching graphs called caspidal central limit theorem characters classical coefficients combinatorial compute conjugacy class consider correlation functions correlation kernel corresponding Coxeter groups curves cycle decomposition defined Deift denote determinantal point processes dimensional distribution edge tree eigenvalues elements English translation ensemble equations example finite Fock space formula free cumulants free probability freeness genus GL(n group algebra harmonic analysis Hence infinite symmetric group integrable intersection theory isomorphic Kerov lectures Lemma length linear marked points Math Mathematics module moduli spaces multiplication normalized Okounkov Olshanski operator orthogonal polynomials permutation Petersburg Plancherel measure Poisson positive definite probability measure probability theory proof Proposition quantum random matrix theory random variables relation representation theory Riemann-Hilbert problem roots Russia spectral subgroup subset symmetric group tableau tion unique vector Vershik vertex vertices Voiculescu Young diagram Young graph z-measures