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math.PR2021
Homogenization of a diffusion in a high-contrast random environment and related Markov semigroups
Brahim Amaziane, Andrey Piatnitski, Elena Zhizhina
The goal of the paper is to describe the large time behaviour of a Markov process associated with a symmetric diffusion in a high-contrast random environment and to characterize th…
math.PR2021
General contact processes: inhomogeneous models, models on graphs and on manifolds
Sergey Pirogov, Elena Zhizhina
The contact process is a particular case of birth-and-death processes on infinite particle configurations. We consider the contact models on locally compact separable metric spaces…