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• W4310063608 abstract "In this paper we study positive self-similar Markov processes obtained by (partially) resurrecting a strictly α-stable process at its first exit time from (0,∞). We construct those processes by using the Lamperti transform. We explain their long term behavior and give conditions for absorption at 0 in finite time. In case the process is absorbed at 0 in finite time, we give a necessary and sufficient condition for the existence of a recurrent extension. The motivation to study resurrected processes comes from the fact that their jump kernels may explode at zero. We establish sharp two-sided jump kernel estimates for a large class of resurrected stable processes." @default.
• W4310063608 created "2022-11-30" @default.
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• W4310063608 date "2023-02-01" @default.
• W4310063608 modified "2023-09-23" @default.
• W4310063608 title "Positive self-similar Markov processes obtained by resurrection" @default.
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• W4310063608 doi "https://doi.org/10.1016/j.spa.2022.11.014" @default.
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