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Scaling limit for a family of coalescing radial random paths absorbed at the origin

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Author(s):
Coletti, Cristian F. ; Valencia, Leon A.
Total Authors: 2
Document type: Journal article
Source: Journal of Mathematical Physics; v. 63, n. 3, p. 13-pg., 2022-03-01.
Abstract

We introduce a system of coalescing random paths with radial behavior in a subset of the plane. We call it the discrete radial Poissonian web. We show that locally and under diffusive scaling, this family converges in distribution to a mapping of a restriction of the Brownian web. Published under an exclusive license by AIP Publishing. (AU)

FAPESP's process: 17/10555-0 - Stochastic modeling of interacting systems
Grantee:Fabio Prates Machado
Support Opportunities: Research Projects - Thematic Grants