26 citations · 66 across the 12 of their papers we have counts for
12 papers
Growing integer partitions with uniform marginals and the equivalence of partition ensembles
Yuri Yakubovich
We present an explicit construction of a Markovian random growth process on integer partitions such that given it visits some level , it passes through any partition of …
A simple proof of the Lévy--Khintchine formula for subordinators
Yuri Yakubovich
We present a relatively simple and mostly elementary proof of the Lévy--Khintchine formula for subordinators. The main idea is to study the Poisson process time-changed by the subo…
Limit shape of minimal difference partitions and fractional statistics
Leonid V. Bogachev, Yuri V. Yakubovich
The class of minimal difference partitions MDP() (with gap ) is defined by the condition that successive parts in an integer partition differ from one another by at least $q\…
Gaps and interleaving of point processes in sampling from a residual allocation model
Jim Pitman, Yuri Yakubovich
This article presents a limit theorem for the gaps between order statistics of a sample of size f…
An ergodic theorem for partially exchangeable random partitions
Jim Pitman, Yuri Yakubovich
We consider shifts of a partially exchangeable random partition of obtained by restricting to and then subtrac…
Ordered and size-biased frequencies in GEM and Gibbs models for species sampling
Jim Pitman, Yuri Yakubovich
We describe the distribution of frequencies ordered by sample values in a random sample of size from the two parameter GEM random discrete distribution on the positive i…