2017/07/28 by Luiz Renato Fontes, Fontes, Luiz Renato
Computer Science · Mathematics · #60B05 #60B10 #60F17 #60J65 #60K35 #82B41 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1707.09081
openalex publication_date 2017/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a metric space of coalescing pairs of paths on which we are able to prove (more or less) directly 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.