271 citations · 649 across the 16 of their papers we have counts for
5 papers · 1 filter
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…
Fluctuation properties of the TASEP with periodic initial configuration
Alexei Borodin, Patrik L. Ferrari, Michael Prähofer +1
We consider the joint distributions of particle positions for the continuous time totally asymmetric simple exclusion process (TASEP). They are expressed as Fredholm determinants w…
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…
Periodic Schur process and cylindric partitions
Alexei Borodin
Periodic Schur process is a generalization of the Schur process introduced in math.CO/0107056. We compute its correlation functions and their bulk scaling limits, and discuss sever…