Dynamical Processes on Bursty Systems

Abstract

In this chapter we will summarise the studies that address any type of dynamical processes on bursty human interaction networks. Bursty human interactions have indisputable consequences on dynamical processes, as their heterogeneous timings largely control the possible transmission of any kind of information between the interacting peers, or the timely connectedness of the temporal structure. To give a comprehensive review we first discuss all the possible bursty characters like the inter-event and residual time distributions, ordering of events, triggered event correlations, node and link burstiness, etc., which were shown to affect the early and late time behaviour of collective dynamical phenomena. In the second part of the chapter we go through all the main families of dynamical processes studied so far on bursty interaction networks to understand how process specific behaviour is dependent on the heterogeneous dynamics.