66 citations · 159 across the 8 of their papers we have counts for
4 papers · 1 filter
Infinite-dimensional diffusions as limits of random walks on partitions
Alexei Borodin, Grigori Olshanski
The present paper originated from our previous study of the problem of harmonic analysis on the infinite symmetric group. This problem leads to a family {P_z} of probability measur…
Asymptotics of Plancherel-type random partitions
Alexei Borodin, Grigori Olshanski
We present a solution to a problem suggested by Philippe Biane: We prove that a certain Plancherel-type probability distribution on partitions converges, as partitions get large, t…
Meixner polynomials and random partitions
Alexei Borodin, Grigori Olshanski
The paper deals with a 3-parameter family of probability measures on the set of partitions, called the z-measures. The z-measures first emerged in connection with the problem of ha…
The boundary of the Eulerian number triangle
Alexander Gnedin, Grigori Olshanski
The Eulerian triangle is a classical array of combinatorial numbers defined by a linear recursion. The associated boundary problem asks one to find all extreme nonnegative solution…