On Symmetric Stable-Type Processes with Degenerate/Singular Lévy Densities

Haruna Okamura () and Toshihiro Uemura ()
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Haruna Okamura: Kansai University
Toshihiro Uemura: Kansai University

Journal of Theoretical Probability, 2021, vol. 34, issue 2, 809-826

Abstract: Abstract We consider symmetric stable-type processes with degenerate/singular Lévy densities via Dirichlet form theory. We give conditions of some global path properties of the processes such as recurrence, transience or conservativeness. We also show the polarity of a point.

Keywords: Symmetric stable-type processes; Recurrence; Transience; Conservativeness; Primary 31C25; Secondary 60J75 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10959-020-00990-6

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