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Title: Large deviations for Markov processes with resetting
Authors: Meylahn, Janusz M
Sabhapandit, Sanjib
Touchette, Hugo
Issue Date: Dec-2015
Publisher: American Physical Society
Citation: Physical Review E, 2015, Vol 92, p062148
Abstract: Markov processes restarted or reset at random times to a fixed state or region in space have been actively studied recently in connection with random searches, foraging, and population dynamics. Here we study the large deviations of time-additive functions or observables of Markov processes with resetting. By deriving a renewal formula linking generating functions with and without resetting, we are able to obtain the rate function of such observables, characterizing the likelihood of their fluctuations in the long-time limit. We consider as an illustration the large deviations of the area of the Ornstein-Uhlenbeck process with resetting. Other applications involving diffusions, random walks, and jump processes with resetting or catastrophes are discussed.
Description: Open Access
ISSN: 2470-0045
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Copyright: 2015 American Physical Society
Appears in Collections:Research Papers (TP)

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