209 citations · 1.2k across the 68 of their papers we have counts for
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Harmonic analysis on the infinite symmetric group
Sergei Kerov, Grigori Olshanski, Anatoly Vershik
Let S be the group of finite permutations of the naturals 1,2,... The subject of the paper is harmonic analysis for the Gelfand pair (G,K), where G stands for the product of two co…
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…
Random partitions and the Gamma kernel
Alexei Borodin, Grigori Olshanski
We study the asymptotics of certain measures on partitions (the so-called z-measures and their relatives) in two different regimes: near the diagonal of the corresponding Young dia…
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…