209 citations · 1.2k across the 68 of their papers we have counts for
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math-ph2004★ 11 cited
Markov processes on partitions
Alexei Borodin, Grigori Olshanski
We introduce and study a family of Markov processes on partitions. The processes preserve the so-called z-measures on partitions previously studied in connection with harmonic anal…
math-ph2004
Stochastic dynamics related to Plancherel measure on partitions
Alexei Borodin, Grigori Olshanski
Consider the standard Poisson process in the first quadrant of the Euclidean plane, and for any point (u,v) of this quadrant take the Young diagram obtained by applying the Robinso…