Volume 115, Number 1, July 2016
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||01 August 2016|
Anomalous contagion and renormalization in networks with nodal mobility
1 Physics Department, University of Miami - Coral Gables, FL 33126, USA
2 College of Physics, Optoelectronics and Energy, Soochow University - Suzhou 215006, China
3 Department of Physics, Chinese University of Hong Kong - Shatin, Hong Kong, China
Received: 3 April 2016
Accepted: 8 July 2016
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.
PACS: 89.75.-k – Complex systems / 89.75.Hc – Networks and genealogical trees / 87.23.Ge – Dynamics of social systems
© EPLA, 2016
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