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

Cristian Coletti; Glauco Valle

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arXiv · 1109.3517

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

Cristian Coletti·Glauco Valle

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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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Cristian Coletti, Glauco Valle. 2011-09-16. Convergence to the Brownian Web for a generalization of the drainage network model. https://arxiv.org/abs/1109.3517

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