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math.PR2025
Coupling hydrodynamics of several Facilitated Exclusion Processes with closed boundaries
Hugo Da Cunha, Lu Xu
In this paper, we prove the hydrodynamic limit for the ergodic dynamics of the Facilitated Exclusion Process with closed boundaries in the symmetric, asymmetric and weakly asymmetr…
math.PR2024
A novel approach to hydrodynamics for long-range generalized exclusion
PatrÃcia Gonçalves, Julian Kern, Lu Xu
We consider a class of generalized long-range exclusion processes evolving either on or on a finite lattice with an open boundary. The jump rates are given in terms of…