Abstract
The presence of burstiness in temporal social networks, revealed by a power
law form of the waiting time distribution of consecutive interactions, is
expected to produce aging effects in the corresponding time-integrated network.
Here we propose an analytically tractable model, in which interactions among
the agents are ruled by a renewal process, and that is able to reproduce this
aging behavior. We develop an analytic solution for the topological properties
of the integrated network produced by the model, finding that the time
translation invariance of the degree distribution is broken. We validate our
predictions against numerical simulations, and we check for the presence of
aging effects in a empirical temporal network, ruled by bursty social
interactions.
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