A Semi-deterministic random walk with resetting

We consider a discrete-time random walk $(x_t)$ which at random times is reset to the starting position and performs a deterministic motion between them. We show that the quantity $\Pr \Big( x_{ t+1}= n+1 |x_{t}=n \Big), n\to \infty$ determines if the system is averse, neutral or inclined towards re...

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Detalles Bibliográficos
Autores: Villarroel, Javier, Montero Torralbo, Miquel, Vega, Juan Antonio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/178913
Acceso en línea:https://hdl.handle.net/2445/178913
Access Level:acceso abierto
Palabra clave:Rutes aleatòries (Matemàtica)
Distribució (Teoria de la probabilitat)
Random walks (Mathematics)
Distribution (Probability theory)
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spelling A Semi-deterministic random walk with resettingVillarroel, JavierMontero Torralbo, MiquelVega, Juan AntonioRutes aleatòries (Matemàtica)Distribució (Teoria de la probabilitat)Random walks (Mathematics)Distribution (Probability theory)We consider a discrete-time random walk $(x_t)$ which at random times is reset to the starting position and performs a deterministic motion between them. We show that the quantity $\Pr \Big( x_{ t+1}= n+1 |x_{t}=n \Big), n\to \infty$ determines if the system is averse, neutral or inclined towards resetting. It also classifica the stationary distribution. Double barrier probabilities, first passage times and the distribution of the escape time from intervals are determined.MDPI2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/178913Articles publicats en revistes (Física de la Matèria Condensada)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.3390/e23070825Entropy, 2021, vol. 23, num. 7, p. 825-1-825-13https://doi.org/10.3390/e23070825cc-by (c) Villarroel, Javier et al., 2021https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1789132026-05-27T06:46:51Z
dc.title.none.fl_str_mv A Semi-deterministic random walk with resetting
title A Semi-deterministic random walk with resetting
spellingShingle A Semi-deterministic random walk with resetting
Villarroel, Javier
Rutes aleatòries (Matemàtica)
Distribució (Teoria de la probabilitat)
Random walks (Mathematics)
Distribution (Probability theory)
title_short A Semi-deterministic random walk with resetting
title_full A Semi-deterministic random walk with resetting
title_fullStr A Semi-deterministic random walk with resetting
title_full_unstemmed A Semi-deterministic random walk with resetting
title_sort A Semi-deterministic random walk with resetting
dc.creator.none.fl_str_mv Villarroel, Javier
Montero Torralbo, Miquel
Vega, Juan Antonio
author Villarroel, Javier
author_facet Villarroel, Javier
Montero Torralbo, Miquel
Vega, Juan Antonio
author_role author
author2 Montero Torralbo, Miquel
Vega, Juan Antonio
author2_role author
author
dc.subject.none.fl_str_mv Rutes aleatòries (Matemàtica)
Distribució (Teoria de la probabilitat)
Random walks (Mathematics)
Distribution (Probability theory)
topic Rutes aleatòries (Matemàtica)
Distribució (Teoria de la probabilitat)
Random walks (Mathematics)
Distribution (Probability theory)
description We consider a discrete-time random walk $(x_t)$ which at random times is reset to the starting position and performs a deterministic motion between them. We show that the quantity $\Pr \Big( x_{ t+1}= n+1 |x_{t}=n \Big), n\to \infty$ determines if the system is averse, neutral or inclined towards resetting. It also classifica the stationary distribution. Double barrier probabilities, first passage times and the distribution of the escape time from intervals are determined.
publishDate 2021
dc.date.none.fl_str_mv 2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/178913
url https://hdl.handle.net/2445/178913
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.3390/e23070825
Entropy, 2021, vol. 23, num. 7, p. 825-1-825-13
https://doi.org/10.3390/e23070825
dc.rights.none.fl_str_mv cc-by (c) Villarroel, Javier et al., 2021
https://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by (c) Villarroel, Javier et al., 2021
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv Articles publicats en revistes (Física de la Matèria Condensada)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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