146 citations · 520 across the 35 of their papers we have counts for
4 papers · 1 filter
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…
Observables of Macdonald processes
Alexei Borodin, Ivan Corwin, Vadim Gorin +1
We present a framework for computing averages of various observables of Macdonald processes. This leads to new contour--integral formulas for averages of a large class of multileve…
General beta Jacobi corners process and the Gaussian Free Field
Alexei Borodin, Vadim Gorin
We prove that the two-dimensional Gaussian Free Field describes the asymptotics of global fluctuations of a multilevel extension of the general beta Jacobi random matrix ensembles.…
Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory
Vadim Gorin, Greta Panova
We develop a new method for studying the asymptotics of symmetric polynomials of representation-theoretic origin as the number of variables tends to infinity. Several applications…