Rock-paper-scissors dynamics from random walks on temporal multiplex networks
We study diffusion on a multiplex network where the contact dynamics between the nodes is governed by a random process and where the waiting-time distribution differs for edges from different layers. We study the impact on a random walk of the competition that naturally emerges between the edges of...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Oxford University Press
2019
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| _version_ | 1797060325803032576 |
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| author | Gueuning, M Cheng, S Lambiotte, R Delvenne, J-C |
| author_facet | Gueuning, M Cheng, S Lambiotte, R Delvenne, J-C |
| author_sort | Gueuning, M |
| collection | OXFORD |
| description | We study diffusion on a multiplex network where the contact dynamics between the nodes is governed by a random process and where the waiting-time distribution differs for edges from different layers. We study the impact on a random walk of the competition that naturally emerges between the edges of the different layers. In opposition to previous studies, which have imposed a priori inter-layer competition, the competition is here induced by the heterogeneity of the activity on the different layers. We first study the precedence relation between different edges and by extension between different layers, and show that it determines biased paths for the walker. We also discuss the emergence of cyclic, rock–paper–scissors effects on random walks, when the precedence between layers is non-transitive. Finally, we numerically show the slowing-down effect due to the competition on a multiplex network with heterogeneous layers activity as the walker is likely to be trapped for a longer time either on a single layer, or on an oriented cycle. |
| first_indexed | 2024-03-06T20:15:33Z |
| format | Journal article |
| id | oxford-uuid:2c08030a-7299-49d4-ae40-b32304e0a20d |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:15:33Z |
| publishDate | 2019 |
| publisher | Oxford University Press |
| record_format | dspace |
| spelling | oxford-uuid:2c08030a-7299-49d4-ae40-b32304e0a20d2022-03-26T12:34:40ZRock-paper-scissors dynamics from random walks on temporal multiplex networksJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2c08030a-7299-49d4-ae40-b32304e0a20dEnglishSymplectic ElementsOxford University Press2019Gueuning, MCheng, SLambiotte, RDelvenne, J-CWe study diffusion on a multiplex network where the contact dynamics between the nodes is governed by a random process and where the waiting-time distribution differs for edges from different layers. We study the impact on a random walk of the competition that naturally emerges between the edges of the different layers. In opposition to previous studies, which have imposed a priori inter-layer competition, the competition is here induced by the heterogeneity of the activity on the different layers. We first study the precedence relation between different edges and by extension between different layers, and show that it determines biased paths for the walker. We also discuss the emergence of cyclic, rock–paper–scissors effects on random walks, when the precedence between layers is non-transitive. Finally, we numerically show the slowing-down effect due to the competition on a multiplex network with heterogeneous layers activity as the walker is likely to be trapped for a longer time either on a single layer, or on an oriented cycle. |
| spellingShingle | Gueuning, M Cheng, S Lambiotte, R Delvenne, J-C Rock-paper-scissors dynamics from random walks on temporal multiplex networks |
| title | Rock-paper-scissors dynamics from random walks on temporal multiplex networks |
| title_full | Rock-paper-scissors dynamics from random walks on temporal multiplex networks |
| title_fullStr | Rock-paper-scissors dynamics from random walks on temporal multiplex networks |
| title_full_unstemmed | Rock-paper-scissors dynamics from random walks on temporal multiplex networks |
| title_short | Rock-paper-scissors dynamics from random walks on temporal multiplex networks |
| title_sort | rock paper scissors dynamics from random walks on temporal multiplex networks |
| work_keys_str_mv | AT gueuningm rockpaperscissorsdynamicsfromrandomwalksontemporalmultiplexnetworks AT chengs rockpaperscissorsdynamicsfromrandomwalksontemporalmultiplexnetworks AT lambiotter rockpaperscissorsdynamicsfromrandomwalksontemporalmultiplexnetworks AT delvennejc rockpaperscissorsdynamicsfromrandomwalksontemporalmultiplexnetworks |