66 citations · 159 across the 8 of their papers we have counts for
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Giambelli compatible point processes
Alexei Borodin, Grigori Olshanski, Eugene Strahov
We distinguish a class of random point processes which we call Giambelli compatible point processes. Our definition was partly inspired by determinantal identities for averages of…
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…
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…
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…