6 papers · 1 filter
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…
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…
Large Fluctuations in two-level systems with stimulated emission
E. Pechersky, S. Pirogov, G. M. Schütz +2
We consider a system of identical independent Markov processes, each taking values 0 or 1. The system describes a stochastic dynamics of an ensemble of two-level atoms. The ato…
On quasi successful couplings of Markov processes
Michael Blank, Sergey Pirogov
The notion of a successful coupling of Markov processes, based on the idea that both components of the coupled system ``intersect'' in finite time with probability one, is extended…