具有链持久性的冷随机双曲图的动力学
Dynamics of cold random hyperbolic graphs with link persistence
摘要：
考虑并分析了一类具有链接持久性的随机双曲图的动力学模型。在该模型中，连接和断开都可以以概率$ω\in [0, 1)$从当前快照传播到下一个快照。否则，以概率$1-ω$，根据随机双曲图模型重新建立连接。我们表明，虽然持久性概率$ω$影响的平均接触和相互接触的分布，它不影响这些分布的尾部，衰减的幂律指数不依赖于$ω$。我们还考虑了真实时间网络的例子，我们表明，所考虑的模型可以充分再现其动力学性质。我们的研究结果推进我们的理解的现实建模的时间网络和链接持久性对时间网络属性的影响。
英文摘要：
We consider and analyze a dynamic model of random hyperbolic graphs with link persistence. In the model, both connections and disconnections can be propagated from the current to the next snapshot with probability $ω\in [0, 1)$. Otherwise, with probability $1-ω$, connections are reestablished according to the random hyperbolic graphs model. We show that while the persistence probability $ω$ affects the averages of the contact and intercontact distributions, it does not affect the tails of these distributions, which decay as power laws with exponents that do not depend on $ω$. We also consider examples of real temporal networks, and we show that the considered model can adequately reproduce several of their dynamical properties. Our results advance our understanding of the realistic modeling of temporal networks and of the effects of link persistence on temporal network properties.
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