31 citations · 165 across the 40 of their papers we have counts for
6 papers · 1 filter
Stochastic Baxterisation of a fused Hecke algebra
Jeffrey Kuan
Baxterisation is a procedure which constructs solutions of the Yang-Baxter equation from algebra representations. A recent paper arXiv:2004.05035 provides Baxterisation formulas fo…
Explicit Central Elements of
Jeffrey Kuan, Keke Zhang
By using Drinfeld's central element construction and fusion of -matrices, we construct central elements of the quantum group . These elements are explic…
Three-dimensional Gaussian fluctuations of non-commutative random surfaces along time-like paths
Jeffrey Kuan
We construct a continuous-time non-commutative random walk on with dilation maps . This is an analog o…
Two constructions of Markov chains on the dual of U(n)
Jeffrey Kuan
We provide two new constructions of Markov chains which had previously arisen from the representation theory of the infinite-dimensional unitary group. The first construction uses…
Random surface growth with a wall and Plancherel measures for O(infinity)
Alexei Borodin, Jeffrey Kuan
We consider a Markov evolution of lozenge tilings of a quarter-plane and study its asymptotics at large times. One of the boundary rays serves as a reflecting wall. We observe froz…
Asymptotics of Plancherel measures for the infinite-dimensional unitary group
Alexei Borodin, Jeffrey Kuan
We study a two-dimensional family of probability measures on infinite Gelfand-Tsetlin schemes induced by a distinguished family of extreme characters of the infinite-dimensional un…