31 citations · 73 across the 22 of their papers we have counts for
4 papers · 2 filters
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…
A local large deviation principle for inhomogeneous birth-death processes
N. D. Vvedenskaya, A. V. Logachov, Y. M. Suhov +1
The paper considers a continuous-time birth-death process where the jump rate has an asymptotically polynomial dependence on the process position. We obtain a rough exponential asy…
The local principle of large deviations for compound Poisson process with catastrophes
A. Logachov, O. Logachova, A. Yambartsev
The continuous time Markov process considered in this paper belongs to a class of population models with linear growth and catastrophes. There, the catastrophes happen at the arriv…
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…