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Geodesic rays and exponents in ergodic planar first passage percolation

By Gerandy Brito and Christopher Hoffman
We study first passage percolation on the plane for a family of invariant, ergodic measures on Z2\mathbb{Z}^2. We prove that for all of these models the asymptotic shape is the \ell-11 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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