23 citations · 34 across the 18 of their papers we have counts for
18 papers
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…
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…
Hawking-Penrose Black Hole Model. Large Emission Regime
E. Pechersky, S. Pirogov, A. Yambartsev
In this paper, we propose a stochastic version of the Hawking-Penrose black hole model. We describe the dynamics of the stochastic model as a continuous-time Markov jump process of…
Invariant measures for spatial contact model in small dimensions
Yuri Kondratiev, Oleksandr Kutoviy, Sergey Pirogov +1
We study invariant measures of continuous contact model in small dimensional spaces (). Under general conditions we prove that in the critical regime this system has the on…
Large Emission Regime in Mean Field Luminescence
E. Pechersky, S. Pirogov, G. M. Schütz +2
We study a class of random processes on particles which can be interpreted as stochastic model of luminescence. Each particle can stay in one of two states: Excited state or gr…