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arXiv · 1606.00593

Aging and percolation dynamics in a Non-Poissonian temporal network model

Antoine Moinet·Michele Starnini·Romualdo Pastor-Satorras
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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.

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Antoine Moinet, Michele Starnini, Romualdo Pastor-Satorras. 2016-06-02. Aging and percolation dynamics in a Non-Poissonian temporal network model. https://doi.org/10.1103/physreve.94.022316

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