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Publication :
Coexistence of phases and the observability of random graphs

bul.description.provenanceemo spbfr
bul.rights.dateAccepPubl2014-02-06fr
bul.rights.periodeEmbargoP0Mfr
bul.rights.typeDatedatePublicationfr
dc.contributor.authorYoung, Jean-Gabriel
dc.contributor.authorHébert-Dufresne, Laurent
dc.contributor.authorAllard, Antoine
dc.contributor.authorDubé, Louis J.
dc.date.accessioned2020-03-10T15:14:11Z
dc.date.available2020-03-10T15:14:11Z
dc.date.issued2014-02-06
dc.description.abstractIn a recent Letter, Yang et al. [Phys. Rev. Lett. 109, 258701 (2012)] introduced the concept of observability transitions: the percolationlike emergence of a macroscopic observable component in graphs in which the state of a fraction of the nodes, and of their first neighbors, is monitored. We show how their concept of depth-L percolation—where the state of nodes up to a distance L of monitored nodes is known—can be mapped onto multitype random graphs, and use this mapping to exactly solve the observability problem for arbitrary L. We then demonstrate a nontrivial coexistence of an observable and of a nonobservable extensive component. This coexistence suggests that monitoring a macroscopic portion of a graph does not prevent a macroscopic event to occur unbeknown to the observer. We also show that real complex systems behave quite differently with regard to observability depending on whether they are geographically constrained or not.fr
dc.identifier.arxiv1309.7983fr
dc.identifier.doi10.1103/PhysRevE.89.022801fr
dc.identifier.issn2470-0045fr
dc.identifier.pubmed25353528fr
dc.identifier.urihttp://hdl.handle.net/20.500.11794/38235
dc.languageengfr
dc.publisherAmerican Physical Societyfr
dc.rightshttp://purl.org/coar/access_right/c_abf2
dc.subject.rvmGraphes aléatoiresfr
dc.titleCoexistence of phases and the observability of random graphsfr
dc.typearticle de recherche
dc.type.legacyCOAR1_1::Texte::Périodique::Revue::Contribution à un journal::Article::Article de recherchefr
dcterms.bibliographicCitationPhysical review. E, covering statistical, nonlinear, biological, and soft matter physics, Vol. 89 (2), (2014)fr
dspace.accessstatus.time2024-03-23 18:03:09
dspace.entity.typePublication
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rioxxterms.project.funder-nameCanadian Institutes of Health Researchfr
rioxxterms.project.funder-nameNatural Sciences and Engineering Research Council of Canadafr
rioxxterms.project.funder-nameFonds de Recherche du Québec - Nature et Technologiesfr
rioxxterms.versionVersion of Record (VoR)fr
rioxxterms.version-of-recordhttps://doi.org/10.1103/PhysRevE.89.022801fr

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