209 citations · 1.2k across the 68 of their papers we have counts for
5 papers · 1 filter
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…
Random permutations and related topics
Grigori Olshanski
We present an overview of selected topics in random permutations and random partitions highlighting analogies with random matrix theory.
Laguerre and Meixner orthogonal bases in the algebra of symmetric functions
Grigori Olshanski
Analogs of Laguerre and Meixner orthogonal polynomials in the algebra of symmetric functions are studied. This is a detailed exposition of part of the results announced in arXiv:10…
The two-sided infinite extension of the Mallows model for random permutations
Alexander Gnedin, Grigori Olshanski
We introduce a probability distribution Q on the group of permutations of the set Z of integers. Distribution Q is a natural extension of the Mallows distribution on the finite sym…