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 |
|---|---|
| Pages (from-to) | 1-22 |
| Number of pages | 22 |
| Journal | Mathematische Zeitschrift |
| DOIs | |
| Publication status | Accepted/In press - Mar 22 2017 |
Keywords
- Bottom crossing probability
- Dirichlet form
- Heat kernel
- Symmetric jump process
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Shiozawa, Y. (Accepted/In press). Bottom crossing probability for symmetric jump processes. Mathematische Zeitschrift, 1-22. https://doi.org/10.1007/s00209-017-1872-5