23 citations · 59 across the 25 of their papers we have counts for
7 papers · 1 filter
High-contrast periodic random jumps in continuum and limit Markov process
Andrey Piatnitski, Elena Zhizhina
The paper deals with the asymptotic properties of a random jump process in a high contrast periodic medium in , . We show that if the coordinates of the rando…
Invariant measures for contact processes with state dependent birth and death rates
Sergey Pirogov, Elena Zhizhina
In this paper, we consider contact processes on locally compact separable metric spaces with birth and death rates heterogeneous in space. Conditions on the rates that ensure the e…
A quasispecies continuous contact model in a subcritical regime
Sergey Pirogov, Elena Zhizhina
We study a non-equilibrium dynamical model: a marked continuous contact model in -dimensional space, . In contrast with the continuous contact model in a critical regim…
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…
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…
Large Deviations for Markov jump processes in periodic and locally periodic environments
Andrey Piatnitski, Sergei Pirogov, Elena Zhizhina
The paper deals with a family of jump Markov process defined in a medium with a periodic or locally periodic microstructure. We assume that the generator of the process is a zero o…