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Temporal profiles of avalanches on networks

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dc.contributor.author Gleeson, James P.
dc.contributor.author Durrett, Rick
dc.date.accessioned 2017-12-19T10:14:16Z
dc.date.available 2017-12-19T10:14:16Z
dc.date.issued 2017
dc.identifier.uri http://hdl.handle.net/10344/6369
dc.description peer-reviewed en_US
dc.description.abstract An avalanche or cascade occurs when one event causes one or more subsequent events, which in turn may cause further events in a chain reaction. Avalanching dynamics are studied in many disciplines, with a recent focus on average avalanche shapes, i.e., the temporal profiles of avalanches of fixed duration. At the critical point of the dynamics, the rescaled average avalanche shapes for different durations collapse onto a single universal curve. We apply Markov branching process theory to derive an equation governing the average avalanche shape for cascade dynamics on networks. Analysis of the equation at criticality demonstrates that nonsymmetric average avalanche shapes (as observed in some experiments) occur for certain combinations of dynamics and network topology. We give examples using numerical simulations of models for information spreading, neural dynamics, and behavior adoption and we propose simple experimental tests to quantify whether cascading systems are in the critical state. en_US
dc.language.iso eng en_US
dc.publisher Nature Publishing Group en_US
dc.relation.ispartofseries Nature Communications;8: 1227
dc.relation.uri http://dx.doi.org/10.1038/s41467-017-01212-0
dc.subject temporal profiles en_US
dc.subject avalanches en_US
dc.subject networks en_US
dc.subject cascade en_US
dc.title Temporal profiles of avalanches on 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.identifier.doi 10.1038/s41467-017-01212-0
dc.contributor.sponsor SFI en_US
dc.relation.projectid 11/PI/1026 en_US
dc.relation.projectid 09/SRC/E1780 en_US
dc.relation.projectid 15/SPP/E3125 en_US
dc.relation.projectid 16/IA/4470 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US
dc.internal.rssid 2728263


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