Quenched large deviations for brownian motion in a random potential
Probability
2019-01-18 v1
Abstract
A quenched large deviation principle for Brownian motion in a non-negative, stationary potential is proved. A sufficient moment condition on the potential is given but unlike the results of Armstrong and Tran (2014) no regularity is assumed. The proof is based on a method developed by Sznitman (1994) for Brownian motion among Poissonian potential. In particular, the LDP holds for potentials with polynomially decaying correlations such as the classical potentials studied by L. Pastur (1977) and R. Fukushima (2008) and the potentials recently introduced by H. Lacoin (2012).
Cite
@article{arxiv.1901.05660,
title = {Quenched large deviations for brownian motion in a random potential},
author = {Daniel Boivin and Thi Thu Hien Lê},
journal= {arXiv preprint arXiv:1901.05660},
year = {2019}
}