English

Laws of the iterated logarithm for symmetric jump processes

Probability 2016-02-19 v2

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 β\beta-stable-like processes on α\alpha-sets with β>0\beta>0.

Keywords

Cite

@article{arxiv.1504.06210,
  title  = {Laws of the iterated logarithm for symmetric jump processes},
  author = {Panki Kim and Takashi Kumagai and Jian Wang},
  journal= {arXiv preprint arXiv:1504.06210},
  year   = {2016}
}