209 citations · 1.2k across the 68 of their papers we have counts for
Showing 2004Show all
3 papers · 1 filter
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.RT2004★ 21 cited
Representation theory and random point processes
Alexei Borodin, Grigori Olshanski
We discuss a connection between two areas of mathematics which until recently seemed to be rather distant from each other: (1) noncommutative harmonic analysis on groups and (2) so…
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…