Gerandy Brito

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math.PR2020

Absence of backward infinite paths for first-passage percolation in arbitrary dimension

Gerandy Brito, Michael Damron, Jack Hanson

In first-passage percolation (FPP), one places nonnegative random variables (weights) $(t_{e})$ on the edges of a graph and studies the induced weighted graph metric. We consider FPP…

math.PR2019

Geodesic rays and exponents in ergodic planar first passage percolation

Gerandy Brito, Christopher Hoffman

We study first passage percolation on the plane for a family of invariant, ergodic measures on $Z^{2}$ . We prove that for all of these models the asymptotic shape is the $\e…