most citedThe number of geodesics in planar first-passage percolation grows sublinearly

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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 associated to the nearest neighbor edges o…

math.PR2022★ 1 cited

The number of geodesics in planar first-passage percolation grows sublinearly

Daniel Ahlberg, Jack Hanson, Christopher Hoffman

We study a random perturbation of the Euclidean plane, and show that it is unlikely that the distance-minimizing path between the two points can be extended into an infinite distan…