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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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Nature Portfolio
2023-02-01
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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. |
first_indexed | 2024-04-10T17:17:01Z |
format | Article |
id | doaj.art-2b5c2ec14fc84919ab0b9ccc82af9251 |
institution | Directory Open Access Journal |
issn | 2041-1723 |
language | English |
last_indexed | 2024-04-10T17:17:01Z |
publishDate | 2023-02-01 |
publisher | Nature Portfolio |
record_format | Article |
series | Nature Communications |
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 |
work_keys_str_mv | AT leoregnier universalexplorationdynamicsofrandomwalks AT maximdolgushev universalexplorationdynamicsofrandomwalks AT sredner universalexplorationdynamicsofrandomwalks AT olivierbenichou universalexplorationdynamicsofrandomwalks |