Stochastic resetting by a random amplitude

Stochastic resetting, a diffusive process whose amplitude is reset to the origin at random times, is a vividly studied strategy to optimize encounter dynamics, e.g., in chemical reactions. Here we generalize the resetting step by introducing a random resetting amplitude such that the diffusing parti...

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Detalhes bibliográficos
Autores: Dahlenburg, M., Chechkin, A. V., Schumer, R., Metzler, R.
Tipo de documento: artigo
Estado:Versión enviada para evaluación y publicación
Data de publicação:2021
País:España
Recursos:Basque Center for Applied Mathematics (BCAM)
Repositório:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/1293
Acesso em linha:http://hdl.handle.net/20.500.11824/1293
Access Level:Acceso aberto
Palavra-chave:Random walks
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spelling Stochastic resetting by a random amplitudeDahlenburg, M.Chechkin, A. V.Schumer, R.Metzler, R.Random walksStochastic resetting, a diffusive process whose amplitude is reset to the origin at random times, is a vividly studied strategy to optimize encounter dynamics, e.g., in chemical reactions. Here we generalize the resetting step by introducing a random resetting amplitude such that the diffusing particle may be only partially reset towards the trajectory origin or even overshoot the origin in a resetting step. We introduce different scenarios for the random-amplitude stochastic resetting process and discuss the resulting dynamics. Direct applications are geophysical layering (stratigraphy) and population dynamics or financial markets, as well as generic search processes.Predoc Severo Ochoa 2018 grant PRE2018-084427; DFG Grant No. ME 1535/12-1202120212021info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/1293reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.052123info:eu-repo/grantAgreement/MINECO//SEV-2017-0718info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2018-2021Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/12932026-06-19T12:47:47Z
dc.title.none.fl_str_mv Stochastic resetting by a random amplitude
title Stochastic resetting by a random amplitude
spellingShingle Stochastic resetting by a random amplitude
Dahlenburg, M.
Random walks
title_short Stochastic resetting by a random amplitude
title_full Stochastic resetting by a random amplitude
title_fullStr Stochastic resetting by a random amplitude
title_full_unstemmed Stochastic resetting by a random amplitude
title_sort Stochastic resetting by a random amplitude
dc.creator.none.fl_str_mv Dahlenburg, M.
Chechkin, A. V.
Schumer, R.
Metzler, R.
author Dahlenburg, M.
author_facet Dahlenburg, M.
Chechkin, A. V.
Schumer, R.
Metzler, R.
author_role author
author2 Chechkin, A. V.
Schumer, R.
Metzler, R.
author2_role author
author
author
dc.subject.none.fl_str_mv Random walks
topic Random walks
description Stochastic resetting, a diffusive process whose amplitude is reset to the origin at random times, is a vividly studied strategy to optimize encounter dynamics, e.g., in chemical reactions. Here we generalize the resetting step by introducing a random resetting amplitude such that the diffusing particle may be only partially reset towards the trajectory origin or even overshoot the origin in a resetting step. We introduce different scenarios for the random-amplitude stochastic resetting process and discuss the resulting dynamics. Direct applications are geophysical layering (stratigraphy) and population dynamics or financial markets, as well as generic search processes.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021
2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/1293
url http://hdl.handle.net/20.500.11824/1293
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.052123
info:eu-repo/grantAgreement/MINECO//SEV-2017-0718
info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2018-2021
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
collection BIRD. BCAM's Institutional Repository Data
repository.name.fl_str_mv
repository.mail.fl_str_mv
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