Johanna Garzon, Luis G. Gorostiza, Jorge A. Leon
Published 2012-02-08Version 1
Sub-fractional Brownian motion is a process analogous to fractional Brownian motion but without stationary increments. In \cite{GGL1} we proved a strong uniform approximation with a rate of convergence for fractional Brownian motion by means of transport processes. In this paper we prove a similar type of approximation for sub-fractional Brownian motion.
Some extensions of fractional Brownian motion and sub-fractional Brownian motion related to particle systems
Universality for persistence exponents of local times of self-similar processes with stationary increments
Stable processes with stationary increments parameterized by metric spaces
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