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

Published 16 Sep 2011 in math.PR | (1109.3517v1)

Abstract: We introduce a system of one-dimensional coalescing nonsimple random walks with long range jumps allowing crossing paths and exibiting dependence before coalescence. We show that under diffusive scaling this system converges in distribution to the Brownian Web.

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