31 citations · 73 across the 22 of their papers we have counts for
14 papers · 1 filter
Moderate, large and super large deviations principles for Poisson process with uniform catastrophes
A. Logachov, O. Logachova, A. Yambartsev
In this paper, we expand and generalize the findings presented in our previous work on the law of large numbers and the large deviation principle for Poisson processes with uniform…
A large deviations principle for birth-death processes with a linear rate of downward jumps
N. D. Vvedenskaya, A. V. Logachov, Y. M. Suhov +1
Birth-death processes form a natural class where ideas and results on large deviations can be tested. In this paper, we derive a large deviation principle under the assumption that…
Large deviations in a population dynamics with catastrophes
A. Logachov, O. Logachova, A. Yambartsev
The large deviation principle on phase space is proved for a class of Markov processes known as random population dynamics with catastrophes. In the paper we study the process whic…
Local large deviation principle for Wiener process with random resetting
A. Logachov, O. Logachova, A. Yambartsev
We consider a class of Markov processes with resettings, where at random times, the Markov processes are restarted from a predetermined point or a region. These processes are frequ…
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…