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A Universality Property for Last-Passage Percolation Paths Close to the Axis
Last-passage percolation universality Brownian directed percolation
2009/4/24
We consider a last-passage directed percolation model in $Z_+^2$, with i.i.d. weights whose common distribution has a finite $(2+p)$th moment. We study the fluctuations of the passage time from the or...
We consider invasion percolation on the square lattice. van den Berg, Peres, Sidoravicius and Vares have proved that the probability that the radius of a so-called pond is larger than n, differs at mo...