271 citations · 649 across the 16 of their papers we have counts for
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math.PR2006★ 46 cited
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…
math.PR2006★ 4 cited
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…
math.PR2006★ 5 cited
Loop-free Markov chains as determinantal point processes
Alexei Borodin
We show that any loop-free Markov chain on a discrete space can be viewed as a determinantal point process. As an application, we prove central limit theorems for the number of par…