16 citations · 16 across the 3 of their papers we have counts for
5 papers
Limit theorems for chains with unbounded variable length memory which satisfy Cramer condition
A. Logachev, A. Mogulskii, A. Yambartsev
Here we obtain the exact asymptotics for large and moderate deviations, strong law of large numbers and central limit theorem for chains with unbounded variable length memory.
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…
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…