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math-ph2026
Correlated and uncorrelated long--time asymptotics of type D ASEP
Jeffrey Kuan
The type D ASEP is an asymmetric two--species interacting particle system on , in which two separately conserved species hop, bind into a composite ``bound pair'', and split. T…
math-ph2020
Coxeter Group Actions on Interacting Particle Systems
Jeffrey Kuan
We provide a conceptual proof of the color-position symmetry of colored ASEP by relating it to the actions of Coxeter groups. The group action (and hence the color-position symmetr…
math-ph2019
Algebraic Symmetry and Self-Duality of an Open ASEP
Jeffrey Kuan
We consider the asymmetric simple exclusion process (ASEP) with open boundary condition at the left boundary, where particles exit at rate γ and enter at rate α = γτ^2, and where τ…