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A Stronger Topology for the Brownian Web

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Author(s):
Fontes, Luiz Renato ; Sidoravicius, V
Total Authors: 2
Document type: Journal article
Source: SOJOURNS IN PROBABILITY THEORY AND STATISTICAL PHYSICS - II: BROWNIAN WEB AND PERCOLATION, A FESTSCHRIFT FOR CHARLES M. NEWMAN; v. 299, p. 19-pg., 2019-01-01.
Abstract

We propose a metric space of coalescing pairs of paths on which we are able to prove in a fairly direct way convergence of objects such as the persistence probability in the (one dimensional, nearest neighbor, symmetric) voter model or the diffusively rescaled weight distribution in a silo model (as well as the equivalent output distribution in a river basin model), interpreted in terms of (dual) diffusively rescaled coalescing random walks, to corresponding objects defined in terms of the Brownian web. (AU)

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