时间积分活动驱动网络的拓扑性质
Topological properties of a time-integrated activity driven network
摘要：
在这里，我们考虑从活动驱动模型中出现的集成网络的拓扑特性[Perra at al. Sci. Rep. 2，469（2012）]，最近提出的一种时间网络模型，用于解释在许多真实社交网络中经验观察到的幂律度分布。通过映射到一个隐变量网络模型，我们提供了分析表达式的主要拓扑特性的集成网络，根据集成时间和分布的活性潜力表征模型。得到的表达式，在某些情况下，精确的控制渐近展开在其他的结果，证实了广泛的数值模拟。我们的分析方法，它突出了在真正的社交网络的经验观察模型的差异，可以很容易地扩展到处理改进，更现实的修改活动驱动的网络范式。
英文摘要：
Here we consider the topological properties of the integrated networks emerging from the activity driven model [Perra at al. Sci. Rep. 2, 469 (2012)], a temporal network model recently proposed to explain the power-law degree distribution empirically observed in many real social networks. By means of a mapping to a hidden variables network model, we provide analytical expressions for the main topological properties of the integrated network, depending on the integration time and the distribution of activity potential characterizing the model. The expressions obtained, exacts in some cases, the results of controlled asymptotic expansions in others, are confirmed by means of extensive numerical simulations. Our analytical approach, which highlights the differences of the model with respect to the empirical observations made in real social networks, can be easily extended to deal with improved, more realistic modifications of the activity driven network paradigm.
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