Alexey I. Bufetov

activity

20112026

most citedFluctuations of particle systems determined by Schur generating functions

59 citations · 238 across the 21 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.RT2013★ 4 cited

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…

math.RT2013★ 13 cited

Limit shapes for growing extreme characters of $U (\infty)$

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…

math.RT2013★ 9 cited

Plancherel representations of $U (\infty)$ 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…

Representations of classical Lie groups and quantized free convolution

Limit shapes for growing extreme characters of U(∞)

Plancherel representations of U(∞) and correlated Gaussian Free Fields

Limit shapes for growing extreme characters of $U (\infty)$

Plancherel representations of $U (\infty)$ and correlated Gaussian Free Fields