31 citations · 73 across the 22 of their papers we have counts for
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math.PR2019★ 16 cited
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…
math.PR2019
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…