A Stronger Topology for the Brownian Web

Autor: Luiz Renato Fontes
Rok vydání: 2019
Předmět:
Zdroj: Sojourns in Probability Theory and Statistical Physics-II ISBN: 9789811502972
DOI: 10.1007/978-981-15-0298-9_7
Popis: 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.
Databáze: OpenAIRE