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The Lamperti correspondence extended to Lévy processes and semi-stable Markov processes in locally compact groups

Oleksandr Chybiryakov

Stochastic Processes and their Applications, 2006, vol. 116, issue 5, 857-872

Abstract: We establish Lamperti representations for semi-stable Markov processes in locally compact groups. We also study the particular cases of processes with values in and under the hypothesis that they do not visit 0. These Lamperti representations yield some properties of these semi-stable Markov processes.

Keywords: Semi-stable; Markov; processes; Multiplicative; Lévy; processes; Lamperti; representation; Time-change; Feller; processes (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (2)

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