Communication activity in social networks: growth and correlations |
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Authors: | D Rybski S V Buldyrev S Havlin F Liljeros H A Makse |
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Institution: | (1) Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215, USA;(2) Minerva Center and Department of Physics, Bar-Ilan University, Ramat Gan, Israel |
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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 ~ M
λ
, with
exponent λ ≈ 3 / 4. |
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Keywords: | |
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