By Gerandy Brito and Christopher Hoffman

We study first passage percolation on the plane for a family of invariant, ergodic measures on *\mathbb{Z}^2*. We prove that for all of these models the asymptotic shape is the *\ell*-*1* ball and that there are exactly four infinite geodesics starting at the origin a.s. In addition we determine the... Show more

April 29, 2020

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Geodesic rays and exponents in ergodic planar first passage percolation

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