Scaling limit for a family of random paths with radial behavior

2013/10/25 by Cristian F. Coletti, Coletti, Cristian F., León A. Valencia +1
Mathematics · #FOS: Mathematics #Mathematical Dynamics and Fractals #Point processes and geometric inequalities #Probability (math.PR) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1310.6929

openalex publication_date 2013/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a system of coalescing random paths with radialbehavior in a subsetof the plane. We call it theDiscrete Radial Poissonian Web. We show that underdiffusive scaling this family converges in distribution toa mapping of a restrictionof the Brownian Web.

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