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math.PR2021
Transitions for exceptional times in dynamical first-passage percolation
Michael Damron, Jack Hanson, David Harper +1
In first-passage percolation (FPP), we let be i.i.d. nonnegative weights on the vertices of a graph and study the weight of the minimal path between distant vertices. If $F…
math.PR2021
Near-critical avalanches in 2D frozen percolation and forest fires
Wai-Kit Lam, Pierre Nolin
We study two closely related processes on the triangular lattice: frozen percolation, where connected components of occupied vertices freeze (they stop growing) as soon as they con…