Large deviations for Brownian motion in a random scenery
Probability
2007-05-23 v1
Abstract
We prove large deviations principles in large time, for the Brownian occupation time in random scenery. The random scenery is constant on unit cubes, and consist of i.i.d. bounded variables, independent of the Brownian motion. This model is a time-continuous version of Kesten and Spitzer's random walk in random scenery. We prove large deviations principles in ``quenched'' and ``annealed'' settings.
Cite
@article{arxiv.math/0209160,
title = {Large deviations for Brownian motion in a random scenery},
author = {A. Asselah and F. Castell},
journal= {arXiv preprint arXiv:math/0209160},
year = {2007}
}
Comments
29 pages