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arXiv 1002.0216physics.soc-phcond-mat.stat-mechphysics.data-an
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社交网络中的传播活动:增长与相关性

Communication activity in social networks: growth and correlations

Diego Rybski, Sergey V. Buldyrev, Shlomo Havlin, Fredrik Liljeros, Hernan A. Makse

摘要:

我们调查的时间在两个在线社区的增长波动和长期相关性的消息发送。我们发现,发送和接收消息的时间包括明显的长期持久性。考虑到社区成员作为增长实体的活动,即个人发送(或接收)的消息的累积数量,我们确定了与长期相关性相关的增长波动中的非平凡缩放。我们发现的增长和长期的相关性,这是支持的数值模拟的基础上超过阈值的峰值的标度指数之间的连接。此外,我们发现成员对之间的有向链接活动表现出长期相关性,这表明与最喜欢的伙伴的沟通活动可能是消息时间长期持续的原因。最后,我们表明,消息的数量,$M$,和通信伙伴的数量,$K$,个人成员的相关幂律,$K\sim M^λ$,指数$λ\approx 3/4$。

英文摘要:

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, $K\sim M^λ$, with exponent $λ\approx 3/4$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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