146 citations · 520 across the 35 of their papers we have counts for
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math.PR2008★ 3 cited
Non-colliding Jacobi processes as limits of Markov chains on Gelfand-Tsetlin graph
Vadim Gorin
We introduce a stochastic dynamics related to the measures that arise in harmonic analysis on the infinite-dimensional unitary group. Our dynamics is obtained as a limit of a seque…
math.CO2008★ 18 cited
Shuffling algorithm for boxed plane partitions
Alexei Borodin, Vadim Gorin
We introduce discrete time Markov chains that preserve uniform measures on boxed plane partitions. Elementary Markov steps change the size of the box from (a x b x c) to ((a-1) x (…
math.RT2008★ 3 cited
Disjointness of representations arising in harmonic analysis on the infinite-dimensional unitary group
Vadim Gorin
We prove pairwise disjointness of representations T_{z,w} of the infinite-dimensional unitary group. These representations provide a natural generalization of the regular represent…