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math.PR2021
First-order behavior of the time constant in Bernoulli first-passage percolation
Anne-Laure Basdevant, Jean-Baptiste Gouéré, Marie Théret
We consider the standard model of first-passage percolation on (), with i.i.d. passage times associated with either the edges or the vertices of the graph.…
math.PR2021★ 2 cited
Large deviation principle for the cutsets and lower large deviation principle for the maximal flow in first passage percolation
Barbara Dembin, Marie Théret
We consider the standard first passage percolation model in the rescaled lattice for and a bounded domain in . We denote by and $Γ^…