Universal exploration dynamics of random walks

Random walks are usually characterized by the spatial territory they cover, described by the number of sites visited at a given time. Here the authors propose an approach that accounts the time between visits to distinct sites, for improved analysis of the exploration process for general random walk...

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Main Authors: Léo Régnier, Maxim Dolgushev, S. Redner, Olivier Bénichou
Format: Article
Language:English
Published: Nature Portfolio 2023-02-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-023-36233-5
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author Léo Régnier
Maxim Dolgushev
S. Redner
Olivier Bénichou
author_facet Léo Régnier
Maxim Dolgushev
S. Redner
Olivier Bénichou
author_sort Léo Régnier
collection DOAJ
description Random walks are usually characterized by the spatial territory they cover, described by the number of sites visited at a given time. Here the authors propose an approach that accounts the time between visits to distinct sites, for improved analysis of the exploration process for general random walks, including the case of anomalous diffusion in disordered media.
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spelling doaj.art-2b5c2ec14fc84919ab0b9ccc82af92512023-02-05T12:17:25ZengNature PortfolioNature Communications2041-17232023-02-011411810.1038/s41467-023-36233-5Universal exploration dynamics of random walksLéo Régnier0Maxim Dolgushev1S. Redner2Olivier Bénichou3Laboratoire de Physique Théorique de la Matière Condensée, CNRS/Sorbonne UniversityLaboratoire de Physique Théorique de la Matière Condensée, CNRS/Sorbonne UniversitySanta Fe InstituteLaboratoire de Physique Théorique de la Matière Condensée, CNRS/Sorbonne UniversityRandom walks are usually characterized by the spatial territory they cover, described by the number of sites visited at a given time. Here the authors propose an approach that accounts the time between visits to distinct sites, for improved analysis of the exploration process for general random walks, including the case of anomalous diffusion in disordered media.https://doi.org/10.1038/s41467-023-36233-5
spellingShingle Léo Régnier
Maxim Dolgushev
S. Redner
Olivier Bénichou
Universal exploration dynamics of random walks
Nature Communications
title Universal exploration dynamics of random walks
title_full Universal exploration dynamics of random walks
title_fullStr Universal exploration dynamics of random walks
title_full_unstemmed Universal exploration dynamics of random walks
title_short Universal exploration dynamics of random walks
title_sort universal exploration dynamics of random walks
url https://doi.org/10.1038/s41467-023-36233-5
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