Large Deviations Principle for Self-Intersection Local Times for random walk in dimension d>4

Details Large Deviations Principle for Self-Intersection Local Times for random walk in dimension d>4 Large Deviations Principle for Self-Intersection Local Times for random walk in dimension d>4

2007-07-05

arxiv.org/abs/0707.0813v3

Mathematics

Probability

45 pages, 2 figures, thorough revision

Scientific paper

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.

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