Large deviations for Markov processes with resetting

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Janusz M MeylahnHugo Touchette

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.

References

Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·S C Manrubia, D H Zanette
Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Satya N Majumdar, Alan J Bray
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R van Zon, E G D Cohen
Jun 30, 2007·The Journal of Chemical Physics·O BénichouR Voituriez
Sep 3, 2010·Nature·Volker SchallerAndreas R Bausch
May 24, 2011·Physical Review Letters·Martin R Evans, Satya N Majumdar
Aug 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shiladitya BanerjeeKristian Müller-Nedebock
Jun 21, 2014·Physical Review Letters·Shamik GuptaGrégory Schehr
Dec 11, 2014·Physical Review Letters·Lukasz KusmierzGrégory Schehr
Feb 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Arnab Pal
Jun 13, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Satya N MajumdarGrégory Schehr
Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Satya N MajumdarGrégory Schehr

❮ Previous
Next ❯

Citations

Jan 20, 2018·Physical Review. E·Arnab Pal, Saar Rahav
Feb 6, 2017·Physical Review Letters·Arnab Pal, Shlomi Reuveni
Sep 27, 2018·Physical Review. E·Dominic C RoseJuan P Garrahan
Apr 20, 2019·Physical Review. E·Arnab Pal, V V Prasad
Sep 19, 2020·Physical Review. E·Michał Mandrysz, Bartłomiej Dybiec
Apr 4, 2020·Physical Review Letters·Deepak GuptaArnab Pal
Feb 6, 2019·Physical Review Letters·Arnab PalShlomi Reuveni
Feb 17, 2018·Physical Review. E·Schuyler B NicholsonJason R Green
Nov 3, 2020·PLoS Computational Biology·Román Zapién-CamposArne Traulsen
Nov 21, 2020·Physical Review. E·Paul C Bressloff
Dec 18, 2020·Physical Review. E·Carlos A PlataSandro Azaele
Jun 18, 2021·Physical Review. E·Prashant Singh, Arnab Pal
Jul 17, 2021·Physical Review Letters·Yuval Scher, Shlomi Reuveni

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
H NakanishiN H Fuchs
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
S MukherjeeN H Fuchs
© 2022 Meta ULC. All rights reserved