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arXiv:0707.0813 [math.PR]AbstractReferencesReviewsResources

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

Amine Asselah

Published 2007-07-05, updated 2008-12-28Version 3

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.

Comments: 45 pages, 2 figures, thorough revision
Categories: math.PR
Subjects: 60K35, 82C22, 60J25
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