Abstract
Based on two-sided heat kernel estimates for a class of symmetric jump processes on metric measure spaces, the laws of the iterated logarithm (LILs) for sample paths, local times and ranges are established. In particular, the LILs are obtained for $\beta$-stable-like processes on $\alpha$-sets with $\beta>0$.
Citation
Panki Kim. Takashi Kumagai. Jian Wang. "Laws of the iterated logarithm for symmetric jump processes." Bernoulli 23 (4A) 2330 - 2379, November 2017. https://doi.org/10.3150/16-BEJ812
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