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 Publish in OALib Journal ISSN: 2333-9721 APC: Only $99  Views Downloads  Relative Articles Large deviations for self-intersection local times of stable random walks Moderate deviations and laws of the iterated logarithm for the renormalized self-intersection local times of planar random walks Large deviations and renormalization for Riesz potentials of stable intersection measures Large deviations for intersection local times in critical dimension Integral representation of renormalized self-intersection local times Continuous Differentiability of Renormalized Intersection Local Times in R^{1} An almost sure invariance principle for renormalized intersection local times Large deviations for self-intersection local times in subcritical dimensions Large Deviations Principle for Self-Intersection Local Times for random walk in dimension d>4 Large deviations estimates for self-intersection local times for simple random walk in$\Z^3\$ More...
Mathematics  2005

# Large deviations for renormalized self-intersection local times of stable processes

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Abstract:

We study large deviations for the renormalized self-intersection local time of d-dimensional stable processes of index \beta \in (2d/3,d]. We find a difference between the upper and lower tail. In addition, we find that the behavior of the lower tail depends critically on whether \beta

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