Almost sure asymptotics for a diffusion process in a drifted Brownian potential

Abstract

We study a one-dimensional diffusion process in a drifted Brownian potential. We characterize the upper functions of its hitting times in the sense of Paul Lévy, and determine the lower limits in terms of an iterated logarithm law.

References in corpus (1)

• Random Walkers in 1-D Random Environments: Exact Renormalization Group Analysis

Cited by in corpus (1)

• Localization and number of visited valleys for a transient diffusion in random environment