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math.PR2023
An upper bound on geodesic length in 2D critical first-passage percolation
Erik Bates, David Harper, Xiao Shen +1
We consider i.i.d. first-passage percolation (FPP) on the two-dimensional square lattice, in the critical case where edge-weights take the value zero with probability $\tfrac{1}{2}…
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…