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Moderate deviations and laws of the iterated logarithm for the renormalized self-intersection local times of planar random walks. (English) Zbl 1112.60016

Summary: We study moderate deviations for the renormalized self-intersection local time of planar random walks. We also prove laws of the iterated logarithm for such local times.

MSC:

60F10 Large deviations
60J55 Local time and additive functionals
60J65 Brownian motion
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