209 citations · 1.2k across the 68 of their papers we have counts for
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math-ph2020★ 5 cited
Macdonald-level extension of beta ensembles and large-N limit transition
Grigori Olshanski
We introduce and study a family of -deformed discrete -particle beta ensembles, where and are the parameters of Macdonald polynomials. The main result is the exis…
math.PR2020★ 2 cited
Macdonald polynomials and extended Gelfand-Tsetlin graph
Grigori Olshanski
Using Okounkov's -integral representation of Macdonald polynomials we construct an infinite sequence of countable sets linked by transition probabilities fro…
math.PR2020★ 5 cited
Determinantal point processes and fermion quasifree states
Grigori Olshanski
Determinantal point processes are characterized by a special structural property of the correlation functions: they are given by minors of a correlation kernel. However, unlike the…