The physics of spreading processes in multilayer networks

The physics of spreading processes in multilayer networks
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DOI:
10.1038/nphys3865
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发表时间:
2016-10-01
期刊:
影响因子:
19.6
通讯作者:
Arenas, Alex
Arenas, Alex
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
De Domenico, Manlio;Granell, Clara;Arenas, Alex

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尽管传统网络分析取得了成功,但标准网络仍提供了复杂系统的有限表示,该系统通常包括其组件之间不同类型的关系(或“多重性”)。这种结构复杂性对动态和功能都有显着影响。扔掉或汇总可用的结构信息会产生误导性结果,并成为尝试了解复杂系统的主要障碍。最近用于建模网络系统的多层方法可以明确地结合多重性和现实系统的其他功能。它允许人们通过在便捷的数学对象中编码不同的结构关系。它还允许一个人在此类互连结构的顶部依靠不同的动态过程。最终的框架在帮助实现对复杂系统的透彻,准确的理解方面起着至关重要的作用。多层网络的研究还揭示了使用普通图(传统网络表示)时隐藏的新物理现象。在这里,我们调查了对多层网络上扩散过程的更深入了解的进展,我们重点介绍了与多层结构中出现的传播过程有关的一些物理现象。
Despite the success of traditional network analysis, standard networks provide a limited representation of complex systems, which often include different types of relationships (or 'multiplexity') between their components. Such structural complexity has a significant effect on both dynamics and function. Throwing away or aggregating available structural information can generate misleading results and be a major obstacle towards attempts to understand complex systems. The recent multilayer approach for modelling networked systems explicitly allows the incorporation of multiplexity and other features of realistic systems. It allows one to couple different structural relationships by encoding them in a convenient mathematical object. It also allows one to couple different dynamical processes on top of such interconnected structures. The resulting framework plays a crucial role in helping to achieve a thorough, accurate understanding of complex systems. The study of multilayer networks has also revealed new physical phenomena that remain hidden when using ordinary graphs, the traditional network representation. Here we survey progress towards attaining a deeper understanding of spreading processes on multilayer networks, and we highlight some of the physical phenomena related to spreading processes that emerge from multilayer structure.