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Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-50951

Bertoin, J; Savov, M (2011). Some applications of duality for Lévy processes in a half-line. Bulletin of the London Mathematical Society, 43(1):97-110.

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Abstract

The central result of this paper is an analytic duality relation for real-valued Lévy processes killed upon exiting a half-line. By Nagasawa's theorem, this yields a remarkable time-reversal identity involving the Lévy process conditioned to stay positive. As examples of applications, we construct a version of the Lévy process indexed by the entire real line and started from−∞, which enjoys a natural spatial-stationarity property, and we point out that the latter leads to a natural Lamperti-type representation for self-similar Markov processes in (0, ∞) started from the entrance point 0+.

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Language:English
Date:2011
Deposited On:14 Nov 2011 14:37
Last Modified:09 Dec 2012 12:34
Publisher:Oxford University Press
ISSN:0024-6093
Publisher DOI:10.1112/blms/bdq084
Related URLs:http://arxiv.org/abs/0912.0131
Citations:Google Scholar™

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