Large Deviations Principle for Self-Intersection Local Times for random walk in dimension d>4
Probability
2008-12-30 v3
Abstract
We obtain a large deviations principle for the self-intersection local times for a symmetric random walk in dimension d>4. As an application, we obtain moderate deviations for random walk in random sceneries in some region of parameters.
Cite
@article{arxiv.0707.0813,
title = {Large Deviations Principle for Self-Intersection Local Times for random walk in dimension d>4},
author = {Amine Asselah},
journal= {arXiv preprint arXiv:0707.0813},
year = {2008}
}
Comments
45 pages, 2 figures, thorough revision