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

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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.
45 pages, 2 figures, thorough revision

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Probability, 60K35, 82C22, 60J25

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http://salesiana.dossiersoluciones.com/handle/123456789/213595

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.0813
 http://arxiv.org/abs/0707.0813

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arXiv