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Communication activity in social networks: growth and correlations
Stockholm University, Faculty of Social Sciences, Department of Sociology.
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2011 (English)In: European Physical Journal B: Condensed Matter Physics, ISSN 1434-6028, E-ISSN 1434-6036, Vol. 84, no 1, 147-159 p.Article in journal (Refereed) Published
Abstract [en]

We investigate the timing of messages sent in two online communities with respect to growth fluctuations and long-term correlations. We find that the timing of sending and receiving messages comprises pronounced long-term persistence. Considering the activity of the community members as growing entities, i.e. the cumulative number of messages sent (or received) by the individuals, we identify non-trivial scaling in the growth fluctuations which we relate to the long-term correlations. We find a connection between the scaling exponents of the growth and the long-term correlations which is supported by numerical simulations based on peaks over threshold. In addition, we find that the activity on directed links between pairs of members exhibits long-term correlations, indicating that communication activity with the most liked partners may be responsible for the long-term persistence in the timing of messages. Finally, we show that the number of messages, M, and the number of communication partners, K, of the individual members are correlated following a power-law, K similar to M (lambda) , with exponent lambda a parts per thousand 3 / 4.

Place, publisher, year, edition, pages
2011. Vol. 84, no 1, 147-159 p.
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Probability Theory and Statistics
URN: urn:nbn:se:su:diva-70884DOI: 10.1140/epjb/e2011-20172-4ISI: 000297123600020OAI: diva2:483425
authorCount :5Available from: 2012-01-25 Created: 2012-01-24 Last updated: 2012-01-25Bibliographically approved

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Liljeros, Fredrik
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