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

2007/07/05 by Amine Asselah, Asselah, Amine
Mathematics · #60J25 #60K35 #82C22 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Probability (math.PR) #Stochastic processes and statistical mechanics

paper · doi:10.48550/arxiv.0707.0813

openalex publication_date 2007/07/05 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

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.

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