ETH Zuerich - Homepage

Paper: ETH-RC-14-010

Title: Collective behaviour induced by network volatility

Authors: Claudio J. Tessone*


Many systems exhibit patterns of interaction that are largely sparse and volatile at the same time. Sparsity is a common trait in networks where links are costly, or the nodes involved have some kind of limited capacity. Volatility refers to the fact that edges tend to have very low persistence (compared to the observation period of the network evolution): the patterns of interaction are therefore characterised by a decay time after which the network topology is largely decorrelated with the previous time-step. Here, we introduce a simple model for temporal networks compatible with an arbitrary time-aggregated network, whose volatility can be adjusted. When volatility is too large, the instantaneous network experiences a percolation transition, to a largely disconnected structure. Interestingly, we show a non-trivial relationship between network volatility and the properties of dynamical processes taking place in the nodes of the system. We show that a phase transition towards between non-trivial dynamical states (like synchronisation, or infection propagation) is not-related to the topological transition to percolation, having different critical points. Moreover, we show that long range correlations emerge in the limit of very large network volatility.

Keywords: temporal networks, long-range correlations

Manuscript status: Preprint

JEL codes:
PACS numbers:

Local copy of the paper: ETH-RC-14-010.pdf

Submission date: 19-6-2014

Wichtiger Hinweis:
Diese Website wird in älteren Versionen von Netscape ohne graphische Elemente dargestellt. Die Funktionalität der Website ist aber trotzdem gewährleistet. Wenn Sie diese Website regelmässig benutzen, empfehlen wir Ihnen, auf Ihrem Computer einen aktuellen Browser zu installieren. Weitere Informationen finden Sie auf
folgender Seite.

Important Note:
The content in this site is accessible to any browser or Internet device, however, some graphics will display correctly only in the newer versions of Netscape. To get the most out of our site we suggest you upgrade to a newer browser.
More information