Intermittency for branching random walk in Pareto environment

@article{Ortgiese2016IntermittencyFB,
  title={Intermittency for branching random walk in Pareto environment},
  author={Marcel Ortgiese and Matthew I. Roberts},
  journal={Annals of Probability},
  year={2016},
  volume={44},
  pages={2198-2263}
}
We consider a branching random walk on the lattice, where the branching rates are given by an i.i.d. Pareto random potential. We describe the process, including a detailed shape theorem, in terms of a system of growing lilypads. As an application we show that the branching random walk is intermittent, in the sense that most particles are concentrated on one very small island with large potential. Moreover, we compare the branching random walk to the parabolic Anderson model and observe that… Expand

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