From the 1 of 4 linked papers with an AI index.
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Orthogonal Dualities of Dynamic Stochastic Higher Spin Vertex Models, using the Drinfeld Twister
Jeffrey Kuan, Zhengye Zhou
We introduce a new algebraic method to construct duality functions for integrable dynamic models. This method will be implemented on dynamic stochastic higher spin vertex models, w…
Introduction to Quantum Groups and Yang-Baxter Equation For Probabilists
Jeffrey Kuan
These are a set of lecture notes for a mini-course I gave at The University of Warwick from October 30th to November 1st, 2024. Recordings of the lectures are available on Oleg Zab…
q--exchangeable Measures and Transformations in Interacting Particle Systems
Jeffrey Kuan
This paper provides unified calculations regarding certain measures and transformations in interacting particle systems. More specifically, we provide certain general conditions un…
Asymptotics of dynamic ASEP using duality
Jeffrey Kuan, Zhengye Zhou
Using a recently developed method for proving asymptotics via orthogonal polynomial duality arXiv:2305.17602, we prove that the dynamic ASEP introduced in arXiv:1701.05239 has asym…