2 papers
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) 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 . We prove that for all of these models the asymptotic shape is the $\e…