Limit behavior of additive functionals of semistable processes and processes attracted to semistable processes
β Scribed by Yu. A. Davydov
- Publisher
- Springer US
- Year
- 1981
- Tongue
- English
- Weight
- 581 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1573-8795
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## Abstract Let __X~t~__ be a symmetric stable process on __d__βdimensional Euclidean space \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb {R}}^d$\end{document}. Let __F__(__x__, __y__) be a symmetric positive bounded function on \documentclass{article}\usepac
We study a class of continuous additive functionals for super-Brownian and super-stable processes. These are given in terms of a Tanaka-like formula that generalizes the one for local times. We give representations for these additive functionals in terms of the corresponding local times. As an examp