复杂网络中流量波动的标度崩溃
Scaling breakdown in flow fluctuations on complex networks
摘要：
本文提出了一个随机扩散模型来研究复杂网络中的流量波动。我们推导出一个分析定律，表明波动与网络中的平均流量的依赖关系是由三个因素的微妙相互作用决定的，分别是动力学、拓扑学和统计学性质。特别是，我们证明了幂律标度的存在，在网络中的每个节点的流量波动特征不能被要求。我们通过不同的流量算法和分析实际数据，在相当一般的拓扑和动力学情况下，这种标度故障的有效性。
英文摘要：
We propose a model of random diffusion to investigate flow fluctuations in complex networks. We derive an analytical law showing that the dependence of fluctuations with the mean traffic in a network is ruled by the delicate interplay of three factors, respectively of dynamical, topological and statistical nature. In particular, we demonstrate that the existence of a power-law scaling characterizing the flow fluctuations at every node in the network can not be claimed for. We show the validity of this scaling breakdown under quite general topological and dynamical situations by means of different traffic algorithms and by analyzing real data.
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