Bottom crossing probability for symmetric jump processes (full version)
Probability
2016-12-15 v2
Abstract
We determine the decay rate of the bottom crossing probability for symmetric jump processes under the condition on heat kernel estimates. Our results are applicable to symmetric stable-like processes and stable-subordinated diffusion processes on a class of (unbounded) fractals and fractal-like spaces.
Keywords
Cite
@article{arxiv.1609.06812,
title = {Bottom crossing probability for symmetric jump processes (full version)},
author = {Yuichi Shiozawa},
journal= {arXiv preprint arXiv:1609.06812},
year = {2016}
}
Comments
Appendix B.3 is corrected. The short version (which does not include appendices) is accepted for publication in Mathematische Zeitschrift