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Universality of the geodesic tree in last passage percolation

Universality of the geodesic tree in last passage percolation

In this paper, we consider the geodesic tree in exponential last passage percolation. We show that for a large class of initial conditions around the origin, the line-to-point geodesic that terminates in a cylinder located around the point (N,N), and whose width and length are o(N2/3) and o(N), respectively, agrees …