Extreme events on complex networks

A wide spectrum of extreme events ranging from traffic jams to floods take place on networks. Motivated by these, we employ a random walk model for transport and obtain analytical and numerical results for the extreme events on networks. They reveal an unforeseen, and yet a robust, feature: small de...

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Bibliographic Details
Published inPhysical review letters Vol. 106; no. 18; p. 188701
Main Authors Kishore, Vimal, Santhanam, M S, Amritkar, R E
Format Journal Article
LanguageEnglish
Published United States 06.05.2011
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Summary:A wide spectrum of extreme events ranging from traffic jams to floods take place on networks. Motivated by these, we employ a random walk model for transport and obtain analytical and numerical results for the extreme events on networks. They reveal an unforeseen, and yet a robust, feature: small degree nodes of a network are more likely to encounter extreme events than the hubs. Further, we also study the recurrence time distribution and scaling of the probabilities for extreme events. These results suggest a revision of design principles and can be used as an input for designing the nodes of a network so as to smoothly handle extreme events.
ISSN:1079-7114
DOI:10.1103/PhysRevLett.106.188701