146 citations · 520 across the 35 of their papers we have counts for
4 papers · 1 filter
Stochastic monotonicity in Young graph and Thoma theorem
Alexey Bufetov, Vadim Gorin
We show that the order on probability measures, inherited from the dominance order on the Young diagrams, is preserved under natural maps reducing the number of boxes in a diagram…
Interacting particle systems at the edge of multilevel Dyson Brownian motions
Vadim Gorin, Mykhaylo Shkolnikov
We study the joint asymptotic behavior of spacings between particles at the edge of multilevel Dyson Brownian motions, when the number of levels tends to infinity. Despite the glob…
Stochastic six-vertex model
Alexei Borodin, Ivan Corwin, Vadim Gorin
We study the asymmetric six-vertex model in the quadrant with parameters on the stochastic line. We show that the random height function of the model converges to an explicit deter…
Multilevel Dyson Brownian motions via Jack polynomials
Vadim Gorin, Mykhaylo Shkolnikov
We introduce multilevel versions of Dyson Brownian motions of arbitrary parameter , generalizing the interlacing reflected Brownian motions of Warren for . Such processes…