Burstiness and fractional diffusion on complex networks

  title={Burstiness and fractional diffusion on complex networks},
  author={Sarah de Nigris and Anthony Hastir and Renaud Lambiotte},
  journal={The European Physical Journal B},
Abstract Many dynamical processes on real world networks display complex temporal patterns as, for instance, a fat-tailed distribution of inter-events times, leading to heterogeneous waiting times between events. In this work, we focus on distributions whose average inter-event time diverges, and study its impact on the dynamics of random walkers on networks. The process can naturally be described, in the long time limit, in terms of Riemann-Liouville fractional derivatives. We show that all… 

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