4 citations · 4 across the 2 of their papers we have counts for
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Inhomogeneity and universality: off-critical behavior of interfaces
Pierre Nolin
We further study the interfaces arising in a situation of inhomogeneity. More precisely, we identify a characteristic length for the gradient percolation model, that enables us to…
Near-critical percolation in two dimensions
Pierre Nolin
We give a self-contained and detailed presentation of Kesten's results that allow to relate critical and near-critical percolation on the triangular lattice. They constitute an imp…
Large Scale Properties of the IIIC for 2D Percolation
Lincoln Chayes, Pierre Nolin
We reinvestigate the 2D problem of the inhomogeneous incipient infinite cluster where, in an independent percolation model, the density decays to p_c with an inverse power, λ, of t…
Critical exponents of planar gradient percolation
Pierre Nolin
We study gradient percolation for site percolation on the triangular lattice. This is a percolation model where the percolation probability depends linearly on the location of the…