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Threshold model of cascades in empirical temporal networks
Stockholm University, Faculty of Social Sciences, Department of Sociology.
2013 (English)In: Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, E-ISSN 1873-2119, Vol. 392, no 16, 3476-3483 p.Article in journal (Refereed) Published
Abstract [en]

Threshold models try to explain the consequences of social influence like the spread of fads and opinions. Along with models of epidemics, they constitute a major theoretical framework of social spreading processes. In threshold models on static networks, an individual changes her state if a certain fraction of her neighbors has done the same. When there are strong correlations in the temporal aspects of contact patterns, it is useful to represent the system as a temporal network. In such a system, not only contacts but also the time of the contacts are represented explicitly. In many cases, bursty temporal patterns slow down disease spreading. However, as we will see, this is not a universal truth for threshold models. In this work we propose an extension of Watts's classic threshold model to temporal networks. We do this by assuming that an agent is influenced by contacts which lie a certain time into the past. I.e., the individuals are affected by contacts within a time window. In addition to thresholds in the fraction of contacts, we also investigate the number of contacts within the time window as a basis for influence. To elucidate the model's behavior, we run the model on real and randomized empirical contact datasets.

Place, publisher, year, edition, pages
2013. Vol. 392, no 16, 3476-3483 p.
Keyword [en]
Complex networks, Network theory, Threshold models, Temporal networks
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-91998DOI: 10.1016/j.physa.2013.03.050ISI: 000320292500020OAI: oai:DiVA.org:su-91998DiVA: diva2:637569
Note

AuthorCount:2

Available from: 2013-07-19 Created: 2013-07-15 Last updated: 2017-12-06Bibliographically approved

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