Aging and percolation dynamics in a Non-Poissonian temporal network model
Abstract
We present an exhaustive mathematical analysis of the recently proposed Non-Poissonian Ac- tivity Driven (NoPAD) model [Moinet et al. Phys. Rev. Lett., 114 (2015)], a temporal network model incorporating the empirically observed bursty nature of social interactions. We focus on the aging effects emerging from the Non-Poissonian dynamics of link activation, and on their effects on the topological properties of time-integrated networks, such as the degree distribution. Analytic expressions for the degree distribution of integrated networks as a function of time are derived, ex- ploring both limits of vanishing and strong aging. We also address the percolation process occurring on these temporal networks, by computing the threshold for the emergence of a giant connected component, highlighting the aging dependence. Our analytic predictions are checked by means of extensive numerical simulations of the NoPAD model.
Cite
@article{arxiv.1606.00593,
title = {Aging and percolation dynamics in a Non-Poissonian temporal network model},
author = {Antoine Moinet and Michele Starnini and Romualdo Pastor-Satorras},
journal= {arXiv preprint arXiv:1606.00593},
year = {2016}
}