2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213595We 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 revisionProbability60K35, 82C22, 60J25Large Deviations Principle for Self-Intersection Local Times for random walk in dimension d>4text