Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Campus Nord B4, 08034 Barcelona, Spain.
Phys Rev Lett. 2015 Mar 13;114(10):108701. doi: 10.1103/PhysRevLett.114.108701.
The presence of burstiness in temporal social networks, revealed by a power-law form of the waiting time distribution of consecutive interactions, is expected to produce aging effects in the corresponding time-integrated network. Here, we propose an analytically tractable model, in which interactions among the agents are ruled by a renewal process, that is able to reproduce this aging behavior. We develop an analytic solution for the topological properties of the integrated network produced by the model, finding that the time translation invariance of the degree distribution is broken. We validate our predictions against numerical simulations, and we check for the presence of aging effects in a empirical temporal network, ruled by bursty social interactions.
时间社会网络中存在的突发行为，表现为连续互动的等待时间分布呈幂律形式，预计会在相应的时间综合网络中产生老化效应。在这里，我们提出了一个可分析的模型，其中代理之间的交互受到更新过程的控制，该模型能够再现这种老化行为。我们为模型产生的综合网络的拓扑性质开发了一个解析解，发现度分布的时间平移不变性被打破了。我们通过数值模拟验证了我们的预测，并在受突发社交互动支配的经验时间网络中检查了老化效应的存在。
