Jeffrey Kuan

activity

20072026

most citedAn algebraic construction of duality functions for the stochastic U_q(A_n^{(1)}) vertex model and its degenerations

31 citations · 165 across the 40 of their papers we have counts for

collaborators

Showing 2022 · math.PRShow all

3 papers · 2 filters

math.PR2022★ 4 cited

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…

math.PR2022★ 2 cited

Orthogonal polynomial duality and unitary symmetries of multi--species ASEP $(q, θ)$ 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…

math.PR2022★ 1 cited

Joint $q$ -moments and shift invariance for the multi-species $q$ -TAZRP on the infinite line

Jeffrey Kuan

This paper presents a novel method for computing certain particle locations in the multi-species $q$ -TAZRP (totally asymmetric zero range process). The method is based on a decompo…

Orthogonal polynomial duality of a two-species asymmetric exclusion process

Orthogonal polynomial duality and unitary symmetries of multi--species ASEP(q,θ) and higher--spin vertex models via ∗--bialgebra structure of higher rank quantum groups

Joint q-moments and shift invariance for the multi-species q-TAZRP on the infinite line

Orthogonal polynomial duality and unitary symmetries of multi--species ASEP $(q, θ)$ and higher--spin vertex models via $^{*}$ --bialgebra structure of higher rank quantum groups

Joint $q$ -moments and shift invariance for the multi-species $q$ -TAZRP on the infinite line