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

2011/09/15 by Cristian F. Coletti, Glauco Valle, Coletti, Cristian +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · #Diffusion and Search Dynamics #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1109.3517

openalex publication_date 2011/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a system of one-dimensional coalescing nonsimple random walks\nwith long range jumps allowing crossing paths and exibiting dependence before\ncoalescence. We show that under diffusive scaling this system converges in\ndistribution to the Brownian Web.\n

Citations

• Convergence of Coalescing Nonsimple Random Walks to the Brownian Web

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