209 citations · 1.2k across the 68 of their papers we have counts for
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math.PR2013★ 5 cited
Markov dynamics on the dual object to the infinite-dimensional unitary group
Grigori Olshanski
These are notes for a mini-course of 3 lectures given at the St. Petersburg School in Probability and Statistical Physics (June 2012). My aim was to explain, on the example of a pa…
math.PR2013★ 3 cited
An interacting particle process related to Young tableaux
Alexei Borodin, Grigori Olshanski
We discuss a stochastic particle system consisting of a two-dimensional array of particles living in one space dimension. The stochastic evolution bears a certain similarity to Ham…
math.PR2013★ 1 cited
Markov dynamics on the Thoma cone: a model of time-dependent determinantal processes with infinitely many particles
Alexei Borodin, Grigori Olshanski
The Thoma cone is an infinite-dimensional locally compact space, which is closely related to the space of extremal characters of the infinite symmetric group. In another context, t…