Burstiness and spreading on temporal networks |
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Authors: | Email author" target="_blank">Renaud?LambiotteEmail author Lionel?Tabourier Jean-Charles?Delvenne |
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Institution: | 1.naXys, University of Namur,Namur,Belgium;2.ICTEAM and CORE,Université catholique de Louvain,Louvain-la-Neuve,Belgium |
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Abstract: | We discuss how spreading processes on temporal networks are impacted by the shape of their inter-event time distributions. Through simple mathematical arguments and toy examples, we find that the key factor is the ordering in which events take place, a property that tends to be affected by the bulk of the distributions and not only by their tail, as usually considered in the literature. We show that a detailed modeling of the temporal patterns observed in complex networks can change dramatically the properties of a spreading process, such as the ergodicity of a random walk process or the persistence of an epidemic. |
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