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math.PR2021
A one-phase Stefan problem with non-linear diffusion from highly competing two-species particle systems
Kohei Hayashi
We consider an interacting particle system with two species under strong competition dynamics between the two species. Then, through the hydrodynamic limit procedure for the micros…
math.PR2020
Spatial-segregation limit for exclusion processes with two components under unbalanced reaction
Kohei Hayashi
We consider exclusion processes with two types of particles which compete strongly with each other. In particular, we focus on the case where one species does not diffuse at all an…