Scaling limit for a family of random paths with radial behavior

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.

References in corpus (2)

• The Brownian web: Characterization and convergence
• Two-dimensional Poisson Trees converge to the Brownian web