A Semi-Deterministic Random Walk with Resetting

We consider a discrete-time random walk [Formula: see text] which, at random times, is reset to the starting position and performs a deterministic motion between them. We show that the quantity [Formula: see text] determines if the system is averse, neutral or inclined towards resetting. It also cla...

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Detalles Bibliográficos
Autores principales: Villarroel, Javier, Montero, Miquel, Vega, Juan Antonio
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8303408/
https://www.ncbi.nlm.nih.gov/pubmed/34203494
http://dx.doi.org/10.3390/e23070825
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author Villarroel, Javier
Montero, Miquel
Vega, Juan Antonio
author_facet Villarroel, Javier
Montero, Miquel
Vega, Juan Antonio
author_sort Villarroel, Javier
collection PubMed
description We consider a discrete-time random walk [Formula: see text] which, at random times, is reset to the starting position and performs a deterministic motion between them. We show that the quantity [Formula: see text] determines if the system is averse, neutral or inclined towards resetting. It also classifies the stationary distribution. Double barrier probabilities, first passage times and the distribution of the escape time from intervals are determined.
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spelling pubmed-83034082021-07-25 A Semi-Deterministic Random Walk with Resetting Villarroel, Javier Montero, Miquel Vega, Juan Antonio Entropy (Basel) Article We consider a discrete-time random walk [Formula: see text] which, at random times, is reset to the starting position and performs a deterministic motion between them. We show that the quantity [Formula: see text] determines if the system is averse, neutral or inclined towards resetting. It also classifies the stationary distribution. Double barrier probabilities, first passage times and the distribution of the escape time from intervals are determined. MDPI 2021-06-28 /pmc/articles/PMC8303408/ /pubmed/34203494 http://dx.doi.org/10.3390/e23070825 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Villarroel, Javier
Montero, Miquel
Vega, Juan Antonio
A Semi-Deterministic Random Walk with Resetting
title 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_short A Semi-Deterministic Random Walk with Resetting
title_sort semi-deterministic random walk with resetting
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8303408/
https://www.ncbi.nlm.nih.gov/pubmed/34203494
http://dx.doi.org/10.3390/e23070825
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