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Local large deviation principle for Wiener process with random resetting. / Logachov, A.; Logachova, O.; Yambartsev, A.
в: Stochastics and Dynamics, Том 20, № 5, 2050032, 01.10.2020.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Local large deviation principle for Wiener process with random resetting
AU - Logachov, A.
AU - Logachova, O.
AU - Yambartsev, A.
N1 - Publisher Copyright: © 2020 World Scientific Publishing Company. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/10/1
Y1 - 2020/10/1
N2 - 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 frequently applied in physics, chemistry, biology, economics, and in population dynamics. In this paper, we establish the local large deviation principle (LLDP) for the Wiener processes with random resettings, where the resettings occur at the arrival time of a Poisson process. Here, at each resetting time, a new resetting point is selected at random, according to a conditional distribution.
AB - 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 frequently applied in physics, chemistry, biology, economics, and in population dynamics. In this paper, we establish the local large deviation principle (LLDP) for the Wiener processes with random resettings, where the resettings occur at the arrival time of a Poisson process. Here, at each resetting time, a new resetting point is selected at random, according to a conditional distribution.
KW - diffusive processes with resetting
KW - local large deviation principle
KW - Wiener process with resetting
KW - DIFFERENTIAL-EQUATIONS
KW - DEATH
KW - TIME
KW - BIRTH
UR - http://www.scopus.com/inward/record.url?scp=85076989170&partnerID=8YFLogxK
U2 - 10.1142/S021949372050032X
DO - 10.1142/S021949372050032X
M3 - Article
AN - SCOPUS:85076989170
VL - 20
JO - Stochastics and Dynamics
JF - Stochastics and Dynamics
SN - 0219-4937
IS - 5
M1 - 2050032
ER -
ID: 23003282