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arxiv: 0707.0813 · v3 · submitted 2007-07-05 · 🧮 math.PR

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

classification 🧮 math.PR
keywords randomdeviationswalkdimensionlargelocalobtainprinciple
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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.

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