  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.
