2 citations · 5 across the 11 of their papers we have counts for
8 papers · 1 filter
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…
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…
Interacting particle systems with type D symmetry and duality
Jeffrey Kuan, Mark Landry, Andrew Lin +2
We construct a two-class asymmetric interacting particle system with or symmetry, in which up to two particles may occupy a site if the two particles have d…
Determinantal Expressions in Multi-Species TASEP
Jeffrey Kuan
Consider an inhomogeneous multi-species TASEP with drift to the left, and define a height function which equals the maximum species number to the left of a lattice site. For each f…
Two dualities: Markov and Schur-Weyl
Jeffrey Kuan
We show that quantum Schur-Weyl duality leads to Markov duality for a variety of asymmetric interacting particle systems. In particular, we consider three cases: (1) Using a Schur-…