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Anomalous contagion and renormalization in networks with nodal mobility

机译:具有节点移动性的网络中的异常传播和重新规范化

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摘要

A common occurrence in everyday human activity is where people join, leave and possibly rejoin clusters of other individuals-whether this be online (e.g. social media communities) or in real space (e.g. popular meeting places such as cafes). In the steady state, the resulting interaction network would appear static over time if the identities of the nodes are ignored. Here we show that even in this static steady-state limit, a non-zero nodal mobility leads to a diverse set of outbreak profiles that is dramatically different from known forms, and yet matches well with recent real-world social outbreaks. We show how this complication of nodal mobility can be renormalized away for a particular class of networks. Copyright (C) EPLA, 2016
机译:日常人类活动中常见的一种情况是人们加入,离开并可能重新加入其他人的集群-无论是在网上(例如社交媒体社区)还是在现实空间中(例如流行的聚会场所,如咖啡馆)。在稳态下,如果忽略节点的标识,则生成的交互网络将随着时间的流逝而呈现静态。在这里,我们表明,即使在此静态稳态极限下,非零节点移动性也会导致多种多样的暴发概况,这些暴发概况与已知形式大不相同,但与最近的现实社会暴发非常匹配。我们展示了如何针对特定类别的网络将这种节点移动性的复杂性重新归一化。版权(C)EPLA,2016年

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