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A unified approach to percolation processes on multiplex networks

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dc.contributor.author Baxter, Gareth J.
dc.contributor.author Cellai, Davide
dc.contributor.author Dorogovtsev, Sergey N.
dc.contributor.author Goltsev, A.V.
dc.contributor.author Mendes, José F.F.
dc.date.accessioned 2017-02-22T08:50:20Z
dc.date.issued 2016
dc.identifier.uri http://hdl.handle.net/10344/5542
dc.description peer-reviewed en_US
dc.description.abstract Many real complex systems cannot be represented by a single network, but due to multiple sub-systems and types of interactions, must be represented as a multiplex network. This is a set of nodes which exist in several layers, with each layer having its own kind of edges, represented by different colors. An important fundamental structural feature of networks is their resilience to damage, the percolation transition. Generalization of these concepts to multiplex networks requires careful definition of what we mean by connected clusters. We consider two different definitions. One, a rigorous generalization of the single-layer definition leads to a strong non-local rule, and results in a dramatic change in the response of the system to damage. The giant component collapses discontinuously in a hybrid transition characterized by avalanches of diverging mean size. We also consider another definition, which imposes weaker conditions on percolation and allows local calculation, and also leads to different sized giant components depending on whether we consider an activation or pruning process. This 'weak' process exhibits both continuous and discontinuous transitions. en_US
dc.language.iso eng en_US
dc.publisher Springer en_US
dc.relation.ispartofseries Interconnected Networks: Part of the series Understanding Complex Systems;pp. 101-123
dc.relation.uri http://dx.doi.org/10.1007/978-3-319-23947-7_6
dc.rights The original publication is available at www.springerlink.com en_US
dc.subject interdependent networks en_US
dc.title A unified approach to percolation processes on multiplex networks en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.date.updated 2017-02-22T08:27:10Z
dc.description.version ACCEPTED
dc.identifier.doi 10.1007/978-3-319-23947-7_6
dc.date.embargoEndDate 2018-02-05
dc.embargo.terms 2018-02-05 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US
dc.internal.rssid 1645855
dc.internal.copyrightchecked Yes
dc.identifier.journaltitle Interconnected Networks
dc.description.status peer-reviewed


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