15 citations · 36 across the 16 of their papers we have counts for
17 papers
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…
Lack of phase transitions in staggered magnetic systems. A comparison of uniqueness criteria
Roberto Fernández, Manuel González-Navarrete, Eugene Pechersky +1
We study a ferromagnetic Ising model with a staggered cell-board magnetic field previously proposed for image processing [Maruani et al., Markov Processes Relat. Fields 1 (1995) \c…
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…
Large Fluctuations of Radiation in Stochastically Activated Two-Level Systems
E. Pechersky, S. Pirogov, G. M. Schütz +2
We study the large fluctuations of emitted radiations in the system of non-interacting two-level atoms. Two methods are used to calculate the probability of the large fluctuati…
Stochastic Ising model with plastic interactions
Eugene Pechersky, Guillem Via, Anatoly Yambartsev
We propose a new model based on the Ising model with the aim to study synaptic plasticity phenomena in neural networks. It is today well established in biology that the synapses or…