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math-ph2021★ 8 cited
Limiting current distribution for a two species asymmetric exclusion process
Zeying Chen, Jan de Gier, Iori Hiki +2
We study current fluctuations of a two-species asymmetric exclusion process, known as the Arndt-Heinzel-Rittenberg model. For a step-Bernoulli initial condition with finite number…
math-ph2017★ 13 cited
Integrable stochastic dualities and the deformed Knizhnik-Zamolodchikov equation
Zeying Chen, Jan de Gier, Michael Wheeler
We present a new method for obtaining duality functions in multi-species asymmetric exclusion processes (mASEP), from solutions of the deformed Knizhnik-Zamolodchikov equations. Ou…