Time-changes of stochastic processes associated with resistance forms

Autor:	Croydon, D. A., Hambly, B. M., Kumagai, T.
Rok vydání:	2016
Předmět:	Mathematics - Probability 60J35 60J55 (Primary) 28A80 60J10 60J45 60K37 (Secondary)
Druh dokumentu:	Working Paper
Popis:	Given a sequence of resistance forms that converges with respect to the Gromov-Hausdorff-vague topology and satisfies a uniform volume doubling condition, we show the convergence of corresponding Brownian motions and local times. As a corollary of this, we obtain the convergence of time-changed processes. Examples of our main results include scaling limits of Liouville Brownian motion, the Bouchaud trap model and the random conductance model on trees and self-similar fractals. For the latter two models, we show that under some assumptions the limiting process is a FIN diffusion on the relevant space. Comment: 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1609.02120 Zobrazit plný text záznamu View this record from Arxiv