Michael Damron

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math.PR2023

Exceptional behavior in critical first-passage percolation and random sums

Michael Damron, Jack Hanson, David Harper +1

We study first-passage percolation (FPP) on the square lattice. The model is defined using i.i.d. nonnegative random edge-weights $(t_{e})$ associated to the nearest neighbor edges o…

math.PR2016

Superlinearity of geodesic length in 2 $D$ critical first-passage percolation

Michael Damron, Pengfei Tang

First-passage percolation is the study of the metric space $(Z^{d}, T)$ , where $T$ is a random metric defined as the weighted graph metric using random edge-weights $(t_e)_{e…

Exceptional behavior in critical first-passage percolation and random sums

Superlinearity of geodesic length in 2D critical first-passage percolation

Superlinearity of geodesic length in 2 $D$ critical first-passage percolation