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Threshold model of cascades in empirical temporal networks
Umeå University, Faculty of Science and Technology, Department of Physics. (IceLab)
Umeå University, Faculty of Science and Technology, Department of Physics. Department of Energy Science, Sungkyunkwan University, Suwon 440-746, Korea and Department of Sociology, Stockholm University, 10691 Stockholm, Sweden. (IceLab)ORCID iD: 0000-0003-2156-1096
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.
National Category
Other Physics Topics
Research subject
Physics
Identifiers
URN: urn:nbn:se:umu:diva-71153DOI: 10.1016/j.physa.2013.03.050ISI: 000320292500020OAI: oai:DiVA.org:umu-71153DiVA: diva2:622277
Funder
Swedish Research Council, 2012-3651
Available from: 2013-05-21 Created: 2013-05-21 Last updated: 2017-12-06Bibliographically approved
In thesis
1. Tightly knit: spreading processes in empirical temporal networks
Open this publication in new window or tab >>Tightly knit: spreading processes in empirical temporal networks
2015 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

We live in a tightly knit world. Our emotions, desires, perceptions and decisions are interlinked in our interactions with others. We are constantly influencing our surroundings and being influenced by others. In this thesis, we unfold some aspects of social and economical interactions by studying empirical datasets. We project these interactions into a network representation to gain insights on how socio-economic systems form and function and how they change over time. Specifically, this thesis is centered on four main questions: How do the means of communication shape our social network structures? How can we uncover the underlying network of interests from massive observational data? How does a crisis spread in a real financial network? How do the dynamics of interaction influence spreading processes in networks? We use a variety of methods from physics, psychology, sociology, and economics as well as computational, mathematical and statistical analysis to address these questions.

Place, publisher, year, edition, pages
Umeå: Umeå University, 2015. 55 p.
National Category
Natural Sciences
Research subject
Physics
Identifiers
urn:nbn:se:umu:diva-98885 (URN)978-91-7601-209-3 (ISBN)
Public defence
2015-02-20, NC 300, Naturvetarhuset, Umeå, 12:00 (English)
Opponent
Supervisors
Available from: 2015-01-30 Created: 2015-01-27 Last updated: 2015-02-05Bibliographically approved

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