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Showing 2007 · math.PRShow all
3 papers · 2 filters
math.PR2007★ 4 cited
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…
math.PR2007
Dynamics of Mandelbrot Cascades
Julien Barral, Jacques Peyriere, Zhi-Ying Wen
Mandelbrot multiplicative cascades provide a construction of a dynamical system on a set of probability measures defined by inequalities on moments. To be more specific, beyond the…
math.PR2007★ 1 cited
A functional limit theorem for a 2D-random walk with dependent marginals
Nadine Guillotin-Plantard, Arnaud Le Ny
We prove a non-standard functional limit theorem for a two dimensional simple random walk on some randomly oriented lattices. This random walk, already known to be transient, has d…