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

Loading full text...

Similar articles

Loading recommendations...

x1

Geodesic rays and exponents in ergodic planar first passage percolation

Click on play to start listening