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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/6409
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dc.contributor.authorMeylahn, Janusz M-
dc.contributor.authorSabhapandit, Sanjib-
dc.contributor.authorTouchette, Hugo-
dc.date.accessioned2016-09-28T06:30:13Z-
dc.date.available2016-09-28T06:30:13Z-
dc.date.issued2015-12-
dc.identifier.citationPhysical Review E, 2015, Vol 92, p062148en_US
dc.identifier.issn2470-0045-
dc.identifier.urihttp://hdl.handle.net/2289/6409-
dc.descriptionOpen Accessen_US
dc.description.abstractMarkov 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.en_US
dc.language.isoenen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.urihttp://arxiv.org/abs/1510.02431en_US
dc.relation.urihttp://dx.doi.org/10.1103/PhysRevE.92.062148en_US
dc.rights2015 American Physical Societyen_US
dc.titleLarge deviations for Markov processes with resettingen_US
dc.typeArticleen_US
Appears in Collections:Research Papers (TP)

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