Displaying similar documents to “Percolation dimension of Brownian motion in 3 .”

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.