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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Lambiotte, R., Tabourier, L. & Delvenne, JC. Burstiness and spreading on temporal networks. Eur. Phys. J. B 86, 320 (2013). https://doi.org/10.1140/epjb/e2013-40456-9
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DOI: https://doi.org/10.1140/epjb/e2013-40456-9