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math.PR2012
Lectures on integrable probability
Alexei Borodin, Vadim Gorin
These are lecture notes for a mini-course given at the St. Petersburg School in Probability and Statistical Physics in June 2012. Topics include integrable models of random growth,…
math.PR2012★ 20 cited
Limits of Multilevel TASEP and similar processes
Vadim Gorin, Mykhaylo Shkolnikov
We study the asymptotic behavior of a class of stochastic dynamics on interlacing particle configurations (also known as Gelfand-Tsetlin patterns). Examples of such dynamics includ…
math.PR2012
Record-dependent measures on the symmetric groups
Alexander Gnedin, Vadim Gorin
A probability measure on the symmetric group is said to be record-dependent if depends only on the set of records of a permutation $σ\in{\mathfrak…