13 citations · 47 across the 12 of their papers we have counts for
5 papers · 1 filter
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 …