%0 Journal Article %1 Lambiotte2013Burstiness %A Lambiotte, Renaud %A Tabourier, Lionel %A Delvenne, Jean-Charles %D 2013 %J The European Physical Journal B %K temporal-networks epidemic-models random-walks bursts %N 7 %R 10.1140/epjb/e2013-40456-9 %T Burstiness and spreading on temporal networks %U http://dx.doi.org/10.1140/epjb/e2013-40456-9 %V 86 %X 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.

@article{Lambiotte2013Burstiness, 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.}}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Lambiotte, Renaud and Tabourier, Lionel and Delvenne, Jean-Charles}, biburl = {https://www.bibsonomy.org/bibtex/231b833e20d5dd51d595217b61f826c3b/nonancourt}, citeulike-article-id = {12318268}, citeulike-linkout-0 = {http://dx.doi.org/10.1140/epjb/e2013-40456-9}, citeulike-linkout-1 = {http://arxiv.org/abs/1305.0543}, citeulike-linkout-2 = {http://arxiv.org/pdf/1305.0543}, day = 15, doi = {10.1140/epjb/e2013-40456-9}, eprint = {1305.0543}, interhash = {4d6c9eefd34ad5bcd496a466fdc2f6a7}, intrahash = {31b833e20d5dd51d595217b61f826c3b}, issn = {1434-6036}, journal = {The European Physical Journal B}, keywords = {temporal-networks epidemic-models random-walks bursts}, month = jul, number = 7, posted-at = {2013-05-03 14:59:21}, priority = {2}, timestamp = {2019-08-01T16:20:42.000+0200}, title = {{Burstiness and spreading on temporal networks}}, url = {http://dx.doi.org/10.1140/epjb/e2013-40456-9}, volume = 86, year = 2013 }