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.
Original language | English |
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Pages (from-to) | 1355-1376 |
Number of pages | 22 |
Journal | Mathematische Zeitschrift |
Volume | 287 |
Issue number | 3-4 |
DOIs | |
Publication status | Published - Dec 1 2017 |
Keywords
- Bottom crossing probability
- Dirichlet form
- Heat kernel
- Symmetric jump process
ASJC Scopus subject areas
- Mathematics(all)