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

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.

21 pages, 1 figure

References in corpus (1)

• Convergence of Coalescing Nonsimple Random Walks to the Brownian Web

Cited by in corpus (1)

• Random directed forest and the Brownian web