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math.RT2003★ 4 cited
An introduction to harmonic analysis on the infinite symmetric group
Grigori Olshanski
The aim of the present survey paper is to provide an accessible introduction to a new chapter of representation theory - harmonic analysis for noncommutative groups with infinite-d…
math.CO2003
Kerov's central limit theorem for the Plancherel measure on Young diagrams
Vladimir Ivanov, Grigori Olshanski
Consider random Young diagrams with a fixed number n of boxes, where the probability distribution on diagrams is determined by the Plancherel measure. That is, the weight of a diag…