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arXiv · 1305.0543

Burstiness and spreading on temporal networks

Renaud Lambiotte·Lionel Tabourier·Jean-Charles Delvenne
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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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Renaud Lambiotte, Lionel Tabourier, Jean-Charles Delvenne. 2013-05-02. Burstiness and spreading on temporal networks. https://doi.org/10.1140/epjb%2Fe2013-40456-9

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