664 citations
- Moscow Institute of Physics and TechnologyRU332 papers
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Showing 1999Show all
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math.CO1999★ 8 cited
Asymptotics of Plancherel measures for symmetric groups
Alexei Borodin, Andrei Okounkov, Grigori Olshanski
We consider the asymptotics of the Plancherel measures on partitions of as goes to infinity. We prove that the local structure of a Plancherel typical partition (which we i…
math.RT1999★ 102 cited
Distributions on partitions, point processes, and the hypergeometric kernel
Alexei Borodin, Grigori Olshanski
We study a 3-parametric family of stochastic point processes on the one-dimensional lattice originated from a remarkable family of representations of the infinite symmetric group.…