论文标题
在爆发控制的时间网络上级联反应的动态
Dynamics of cascades on burstiness-controlled temporal networks
论文作者
论文摘要
爆发性，即及时分布的互动事件的趋势，对于物理和社会系统中的信息扩散至关重要。但是，缺乏一个分析框架捕获爆发对通用动力学的影响。我们开发了一种主方程形式主义，以研究以更新过程为模型的时间网络上的级联。在数值和数据驱动的模拟的支持下，我们描述了异质时间相互作用与阈值驱动和流行病扩散模型之间的相互作用。我们发现，增加事件的时间方差可以加速和减速阈值模型的扩散，但只能减速流行病扩散。当考虑到不同的时间间分布的偏斜度时，将时间崩溃到通用曲线上。我们的框架揭示了通用扩散机制与潜在的时间网络结构之间的深厚而微妙的联系，从而影响了从旋转相互作用到流行性传播和语言动态的广泛网络现象。
Burstiness, the tendency of interaction events to be heterogeneously distributed in time, is critical to information diffusion in physical and social systems. However, an analytical framework capturing the effect of burstiness on generic dynamics is lacking. We develop a master equation formalism to study cascades on temporal networks with burstiness modelled by renewal processes. Supported by numerical and data-driven simulations, we describe the interplay between heterogeneous temporal interactions and models of threshold-driven and epidemic spreading. We find that increasing interevent time variance can both accelerate and decelerate spreading for threshold models, but can only decelerate epidemic spreading. When accounting for the skewness of different interevent time distributions, spreading times collapse onto a universal curve. Our framework uncovers a deep yet subtle connection between generic diffusion mechanisms and underlying temporal network structures that impacts on a broad class of networked phenomena, from spin interactions to epidemic contagion and language dynamics.
