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math.PR2018
Hydrodynamic limit for a facilitated exclusion process
Oriane Blondel, Clément Erignoux, Makiko Sasada +1
We study the hydrodynamic limit for a periodic -dimensional exclusion process with a dynamical constraint, which prevents a particle at site from jumping to site unl…
math.PR2018
Convergence of a degenerate microscopic dynamics to the porous medium equation
Oriane Blondel, Clément Cancès, Makiko Sasada +1
We derive the porous medium equation from an interacting particle system which belongs to the family of exclusion processes, with nearest neighbor exchanges. The particles follow a…