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

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

2011-09-16

arxiv.org/abs/1109.3517v1

Mathematics

Probability

21 pages, 1 figure

Scientific paper

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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