146 citations · 520 across the 35 of their papers we have counts for
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math.CO2014
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…
math.CO2008★ 18 cited
Shuffling algorithm for boxed plane partitions
Alexei Borodin, Vadim Gorin
We introduce discrete time Markov chains that preserve uniform measures on boxed plane partitions. Elementary Markov steps change the size of the box from (a x b x c) to ((a-1) x (…