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A stochastic model of tweet diffusion on the twitter network. (English) Zbl 1402.91628

Summary: We introduce a stochastic model which describes the information diffusion on the network of a popular web service, Twitter. Restricting our attention to the daily diffusion from a popular account, we model the information diffusion as a random multiplicative process. We justify our model by directly observing the statistics of the multiplicative factors in the Twitter data.

MSC:

91D30 Social networks; opinion dynamics
60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
62M05 Markov processes: estimation; hidden Markov models

References:

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