31 citations · 165 across the 40 of their papers we have counts for
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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…
math.PR2019
A Short Note on Markov Duality in Multi-species Higher Spin Stochastic Vertex Models
Jeffrey Kuan
We show that the multi-species higher spin stochastic vertex model, also called the U_q(A_n^{(1)}) vertex model, satisfies a duality where the indicator function has the form {η^x_…
math.PR2019★ 15 cited
Stochastic Fusion of Interacting Particle Systems and Duality Functions
Jeffrey Kuan
We introduce a new method, which we call stochastic fusion, which takes an exclusion process and constructs an interacting particle systems in which more than one particle may occu…