Inhomogeneity and universality: off-critical behavior of interfaces (2009)
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 tighten previous...
On monochromatic arm exponents for 2D critical percolation (2009)
Beffara, Vincent, Nolin, Pierre
We investigate the so-called monochromatic arm exponents for critical percolation in two dimensions. These exponents, describing the probability of observing j disjoint macroscopic paths, are shown...
On monochromatic arm exponents for 2D critical percolation (2009)
Beffara, Vincent, Nolin, Pierre
We investigate the so-called monochromatic arm exponents for critical percolation in two dimensions. These exponents, describing the probability of observing j disjoint macroscopic paths, are shown...
On monochromatic arm exponents for 2D critical percolation (2009)
Beffara, Vincent, Nolin, Pierre
We investigate the so-called monochromatic arm exponents for critical percolation in two dimensions. These exponents, describing the probability of observing j disjoint macroscopic paths, are shown...
On monochromatic arm exponents for 2D critical percolation (2009)
Beffara, Vincent, Nolin, Pierre
We investigate the so-called monochromatic arm exponents for critical percolation in two dimensions. These exponents, describing the probability of observing j disjoint macroscopic paths, are shown...
On monochromatic arm exponents for 2D critical percolation (2009)
Beffara, Vincent, Nolin, Pierre
We investigate the so-called monochromatic arm exponents for critical percolation in two dimensions. These exponents, describing the probability of observing j disjoint macroscopic paths, are shown...
Near-critical percolation in two dimensions (2008)
Nolin, Pierre; Ecole Normale Supérieure And Université Paris-Sud; Pierre.nolin@ens.fr
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 important step in the...
Near-critical percolation in two dimensions (2007)
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 important step in the...
Asymmetry of near-critical percolation interfaces (2007)
Nolin, Pierre, Werner, Wendelin
We study the possible scaling limits of percolation interfaces in two dimensions on the triangular lattice. When one lets the percolation parameter p(N) vary with the size N of the box that one is...
Large Scale Properties of the IIIC for 2D Percolation (2007)
Chayes, Lincoln, Nolin, Pierre
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, \lambda, of the distance...
Large Scale Properties of the IIIC for 2D Percolation (2007)
Chayes, Lincoln, Nolin, Pierre
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, \lambda, of the distance...
Asymmetry of near-critical percolation interfaces (2007)
Nolin, Pierre, Werner, Wendelin
We study the possible scaling limits of percolation interfaces in two dimensions on the triangular lattice. When one lets the percolation parameter p(N) vary with the size N of the box that one is...
Near-critical percolation in two dimensions (2007)
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 important step in the...
Near-critical percolation in two dimensions (2007)
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 important step in the...
Asymmetry of near-critical percolation interfaces (2007)
Nolin, Pierre, Werner, Wendelin
We study the possible scaling limits of percolation interfaces in two dimensions on the triangular lattice. When one lets the percolation parameter p(N) vary with the size N of the box that one is...
Critical Exponents of Planar Gradient Percolation (2006)
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 site. We prove the...
Critical exponents of planar gradient percolation (2006)
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 site. We prove the...
Critical Exponents of Planar Gradient Percolation (2006)
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 site. We prove the...
Critical Exponents of Planar Gradient Percolation (2006)
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 site. We prove the...