# One-point localization for branching random walk in Pareto environment

@article{Ortgiese2016OnepointLF, title={One-point localization for branching random walk in Pareto environment}, author={Marcel Ortgiese and Matthew I. Roberts}, journal={arXiv: Probability}, year={2016} }

We consider a branching random walk on the lattice, where the branching rates are given by an i.i.d. Pareto random potential. We show a very strong form of intermittency, where with high probability most of the mass of the system is concentrated in a single site with high potential. The analogous one-point localization is already known for the parabolic Anderson model, which describes the expected number of particles in the same system. In our case, we rely on very fine estimates for the… Expand

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