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math.PR2025
Dynamic generalizations of the Asymmetric Inclusion Process, Asymmetric Brownian Energy Process and their Dualities
Carel Wagenaar
Two new interacting particle systems are introduced in this paper: dynamic versions of the asymmetric inclusion process (ASIP) and the asymmetric Brownian energy process (ABEP). Du…
math.PR2023★ 2 cited
A Generalized Dynamic Asymmetric Exclusion Process: Orthogonal Dualities and Degenerations
Wolter Groenevelt, Carel Wagenaar
In this paper, a generalized version of dynamic ASEP is introduced, and it is shown that the process has a Markov duality property with the same process on the reversed lattice. Th…