31 citations · 165 across the 40 of their papers we have counts for
4 papers · 1 filter
Orthogonal polynomial duality of a two-species asymmetric exclusion process
Danyil Blyschak, Olivia Burke, Jeffrey Kuan +3
We examine type D ASEP, a two--species interacting particle system which generalizes the usual asymmetric simple exclusion process. For certain cases of type D ASEP, the process do…
Orthogonal polynomial duality and unitary symmetries of multi--species ASEP and higher--spin vertex models via --bialgebra structure of higher rank quantum groups
Chiara Franceschini, Jeffrey Kuan, Zhengye Zhou
We propose a novel, general method to produce orthogonal polynomial dualities from the --bialgebra structure of Drinfeld--Jimbo quantum groups. The --structure allows for t…
Well-posedness of solutions to stochastic fluid-structure interaction
Jeffrey Kuan, Sunčica Čanić
In this paper we introduce a constructive approach to study well-posedness of solutions to stochastic fluid-structure interaction with stochastic noise. We focus on a benchmark pro…
Joint -moments and shift invariance for the multi-species -TAZRP on the infinite line
Jeffrey Kuan
This paper presents a novel method for computing certain particle locations in the multi-species -TAZRP (totally asymmetric zero range process). The method is based on a decompo…