避免自相似多路复用中的雪崩崩溃
Escaping the avalanche collapse in self-similar multiplexes
摘要：
我们推导和讨论的影响，自相似性的稳定性方面的鲁棒性失败的复用，取决于层间度的相关性。首先，我们定义自相似性的复用，我们说明了在实践中使用的配置模型合奏的概念。限制鲁棒性生存的相互干扰的状态，我们发现一个新的解释的基础上的自相似性所观察到的脆弱性的互联网络系统，并为他们的鲁棒性故障时，层间度的相关性。扩展的自相似参数，我们表明，层间度相关性可以完全改变自相似复用的稳定性，使他们甚至可以恢复零渗流阈值和连续过渡的热力学极限，从而定性地表现出普通的非相互作用网络的稳定属性。我们证实了这些结果与数值模拟。
英文摘要：
We deduce and discuss the implications of self-similarity for the stability in terms of robustness to failure of multiplexes, depending on interlayer degree correlations. First, we define self-similarity of multiplexes and we illustrate the concept in practice using the configuration model ensemble. Circumscribing robustness to survival of the mutually percolated state, we find a new explanation based on self-similarity both for the observed fragility of interconnected systems of networks and for their robustness to failure when interlayer degree correlations are present. Extending the self-similarity arguments, we show that interlayer degree correlations can change completely the stability properties of self-similar multiplexes, so that they can even recover a zero percolation threshold and a continuous transition in the thermodynamic limit, qualitatively exhibiting thus the ordinary stability attributes of noninteracting networks. We confirm these results with numerical simulations.
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