13 citations · 47 across the 12 of their papers we have counts for
12 papers
Probabilistic conformal blocks for Liouville CFT on the torus
Promit Ghosal, Guillaume Remy, Xin Sun +1
Virasoro conformal blocks are a family of important functions defined as power series via the Virasoro algebra. They are a fundamental input to the conformal bootstrap program for…
Gaussian fluctuations for products of random matrices
Vadim Gorin, Yi Sun
We study global fluctuations for singular values of -fold products of several right-unitarily invariant random matrix ensembles. As , we show the fluc…
Affine Macdonald conjectures and special values of Felder-Varchenko functions
Eric M. Rains, Yi Sun, Alexander Varchenko
We refine the statement of the denominator and evaluation conjectures for affine Macdonald polynomials proposed by Etingof-Kirillov Jr. and prove the first non-trivial cases of the…
Laguerre and Jacobi analogues of the Warren process
Yi Sun
We define Laguerre and Jacobi analogues of the Warren process. That is, we construct local dynamics on a triangular array of particles so that the projections to each level recover…
Matrix models for multilevel Heckman-Opdam and multivariate Bessel measures
Yi Sun
We study multilevel matrix ensembles at general beta by identifying them with a class of processes defined via the branching rules for multivariate Bessel and Heckman-Opdam hyperge…
Traces of intertwiners for quantum affine algebras and difference equations (after Etingof-Schiffmann-Varchenko)
Yi Sun
We modify and give complete proofs for the results of Etingof-Schiffmann-Varchenko on traces of intertwiners of untwisted quantum affine algebras in the opposite coproduct and the…
Elementary symmetric polynomials in Stanley--Reisner face ring
Zhi Lü, Jun Ma, Yi Sun
Let be a simple polytope of dimension with facets. In this paper we pay our attention on those elementary symmetric polynomials in the Stanley--Reisner face ring of …
Traces of intertwiners for quantum affine sl_2 and Felder-Varchenko functions
Yi Sun
We show that the traces of -intertwiners of Etingof-Schiffmann-Varchenko valued in the three-dimensional evaluation representation converge in a cer…
The polynomial representation of the type rational Cherednik algebra in characteristic
Sheela Devadas, Yi Sun
We study the polynomial representation of the rational Cherednik algebra of type with generic parameter in characteristic for . We give explicit formulas fo…
A representation-theoretic proof of the branching rule for Macdonald polynomials
Yi Sun
We give a new representation-theoretic proof of the branching rule for Macdonald polynomials using the Etingof-Kirillov Jr. expression for Macdonald polynomials as traces of intert…
A new integral formula for Heckman-Opdam hypergeometric functions
Yi Sun
We provide Harish-Chandra type formulas for the multivariate Bessel functions and Heckman-Opdam hypergeometric functions as representation-valued integrals over dressing orbits. Ou…
Finite dimensional representations of the rational Cherednik algebra for
Yi Sun
In this paper, we study representations of the rational Cherednik algebra associated to the complex reflection group . In particular, we classify the irreducible finite dimens…