{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,22]],"date-time":"2025-11-22T17:03:47Z","timestamp":1763831027884,"version":"3.41.2"},"reference-count":30,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2019,8,2]],"date-time":"2019-08-02T00:00:00Z","timestamp":1564704000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"name":"Concerted Research Action"},{"DOI":"10.13039\/100000163","name":"ARC","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000163","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002910","name":"Federation Wallonia-Brussels","doi-asserted-by":"publisher","award":["ARC 14\/19-060"],"award-info":[{"award-number":["ARC 14\/19-060"]}],"id":[{"id":"10.13039\/501100002910","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Flagship European Research Area Network"},{"name":"FLAG-ERA"},{"name":"Joint Transnational Call FuturICT 2.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,4,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>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\u2013paper\u2013scissors 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.<\/jats:p>","DOI":"10.1093\/comnet\/cnz027","type":"journal-article","created":{"date-parts":[[2019,7,12]],"date-time":"2019-07-12T19:09:43Z","timestamp":1562958583000},"source":"Crossref","is-referenced-by-count":5,"title":["Rock\u2013paper\u2013scissors dynamics from random walks on temporal multiplex networks"],"prefix":"10.1093","volume":"8","author":[{"given":"Martin","family":"Gueuning","sequence":"first","affiliation":[{"name":"naXys, Universit\u00e9 de Namur, Rempart de la Vierge 8, 5000 Namur, Belgium and ICTEAM, Universit\u00e9 catholique de Louvain, Avenue Georges Lema\u00eetre, 4 - bte L4.05.01B, 1348 Louvain-la-Neuve, Belgium"}]},{"given":"Sibo","family":"Cheng","sequence":"additional","affiliation":[{"name":"\u00c9lectricit\u00e9 de France R&D and LIMSI, CNRS, Univ. Paris-Sud, Universit\u00e9 Paris-Saclay, 15 Rue Georges Clemenceau, 91400 Orsay, France and ICTEAM, Universit\u00e9 catholique de Louvain, Avenue Georges Lema\u00eetre, 4 - bte L4.05.01B, 1348 Louvain-la-Neuve, Belgium"}]},{"given":"Renaud","family":"Lambiotte","sequence":"additional","affiliation":[{"name":"Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, UK"}]},{"given":"Jean-Charles","family":"Delvenne","sequence":"additional","affiliation":[{"name":"ICTEAM, Universit\u00e9 catholique de Louvain, Avenue Georges Lema\u00eetre, 4 - bte L4.05.01B, 1348 Louvain-la-Neuve, Belgium"}]}],"member":"286","published-online":{"date-parts":[[2019,8,2]]},"reference":[{"key":"2020080120004036000_B1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2017.07.007","article-title":"Random walks and diffusion on networks","volume":"716\u2013717","author":"Masuda","year":"2017","journal-title":"Phys. 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