Communication activity in social networks: growth and correlations

Abstract

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, $K\sim M^{\lambda }$, with exponent $\lambda \approx 3/4$.

13 pages, 16 figures, 1 table

References in corpus (18)

• Quantifying social group evolution
• Robust dynamic classes revealed by measuring the response function of a social system
• Small But Slow World: How Network Topology and Burstiness Slow Down Spreading
• Laws of Population Growth
• A Poissonian explanation for heavy-tails in e-mail communication
• Fluctuation scaling in complex systems: Taylor's law and beyond
• Scaling laws of human interaction activity
• Information dynamics shape the networks of Internet-mediated prostitution
• Structure and Time-Evolution of an Internet Dating Community
• The Dynamics of a Mobile Phone Network
• On Universality in Human Correspondence Activity
• Dynamical and bursty interactions in social networks
• Recurrence time analysis, long-term correlations, and extreme events
• On network bipartivity
• Impact of memory on human dynamics
• Effects of coarse-graining on the scaling behavior of long-range correlated and anti-correlated signals
• Language Time Series Analysis
• Quantifying long-range correlations in complex networks beyond nearest neighbors

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