271 citations · 3.1k across the 100 of their papers we have counts for
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Macdonald processes
Alexei Borodin, Ivan Corwin
Macdonald processes are probability measures on sequences of partitions defined in terms of nonnegative specializations of the Macdonald symmetric functions and two Macdonald param…
The Young bouquet and its boundary
Alexei Borodin, Grigori Olshanski
The classification results for the extreme characters of two basic "big" groups, the infinite symmetric group S(infinity) and the infinite-dimensional unitary group U(infinity), ar…
The boundary of the Gelfand-Tsetlin graph: A new approach
Alexei Borodin, Grigori Olshanski
The Gelfand-Tsetlin graph is an infinite graded graph that encodes branching of irreducible characters of the unitary groups. The boundary of the Gelfand-Tsetlin graph has at least…
Markov processes of infinitely many nonintersecting random walks
Alexei Borodin, Vadim Gorin
Consider an N-dimensional Markov chain obtained from N one-dimensional random walks by Doob h-transform with the q-Vandermonde determinant. We prove that as N becomes large, these…