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Displaying similar documents to “Simulations and conjectures for disconnection exponents.”

Convergence to the brownian Web for a generalization of the drainage network model

Cristian Coletti, Glauco Valle (2014)

Annales de l'I.H.P. Probabilités et statistiques

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We introduce a system of one-dimensional coalescing nonsimple random walks with long range jumps allowing paths that can cross each other and are dependent even before coalescence. We show that under diffusive scaling this system converges in distribution to the Brownian Web.

Brownian local times.

Takács, Lajos (1995)

Journal of Applied Mathematics and Stochastic Analysis

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Windings of planar random walks and averaged Dehn function

Bruno Schapira, Robert Young (2011)

Annales de l'I.H.P. Probabilités et statistiques

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We prove sharp estimates on the expected number of windings of a simple random walk on the square or triangular lattice. This gives new lower bounds on the averaged Dehn function, which measures the expected area needed to fill a random curve with a disc.