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math.PR2023★ 1 cited
From Exclusion to Slow and Fast Diffusion
Patricia Gonçalves, Gabriel Nahum, Marielle Simon
We construct a nearest-neighbour interacting particle system of exclusion type, which illustrates a transition from slow to fast diffusion. More precisely, the hydrodynamic limit o…
math.PR2023
Weakly asymmetric facilitated exclusion process
Guillaume Barraquand, Oriane Blondel, Marielle Simon
We consider the facilitated exclusion process, an interacting particle system on the integer line where particles hop to one of their left or right neighbouring site only when the…