59 citations · 238 across the 21 of their papers we have counts for
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Representations of classical Lie groups and quantized free convolution
Alexey Bufetov, Vadim Gorin
We study the decompositions into irreducible components of tensor products and restrictions of irreducible representations of classical Lie groups as the rank of the group goes to…
Limit shapes for growing extreme characters of
Alexei Borodin, Alexey Bufetov, Grigori Olshanski
We prove the existence of a limit shape and give its explicit description for certain probability distribution on signatures (or highest weights for unitary groups). The distributi…
Plancherel representations of and correlated Gaussian Free Fields
Alexei Borodin, Alexey Bufetov
We study asymptotics of traces of (noncommutative) monomials formed by images of certain elements of the universal enveloping algebra of the infinite-dimensional unitary group in i…
A CLT for Plancherel representations of the infinite-dimensional unitary group
Alexei Borodin, Alexey Bufetov
We study asymptotics of traces of (noncommutative) monomials formed by images of certain elements of the universal enveloping algebra of the infinite-dimensional unitary group in i…
The central limit theorem for extremal characters of the infinite symmetric group
Alexey Bufetov
The asymptotics of the first rows and columns of random Young diagrams corresponding to extremal characters of the infinite symmetric group is studied. We consider rows and columns…