Emergent User Behavior on Twitter Modelled by a Stochastic Differential Equation |
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Authors: | Anders Mollgaard Joachim Mathiesen |
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Affiliation: | Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark;University of Warwick, UNITED KINGDOM |
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Abstract: | Data from the social-media site, Twitter, is used to study the fluctuations in tweet rates of brand names. The tweet rates are the result of a strongly correlated user behavior, which leads to bursty collective dynamics with a characteristic 1/f noise. Here we use the aggregated "user interest" in a brand name to model collective human dynamics by a stochastic differential equation with multiplicative noise. The model is supported by a detailed analysis of the tweet rate fluctuations and it reproduces both the exact bursty dynamics found in the data and the 1/f noise. |
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