Inversion de l'espace et du temps des processus de Lévy stables.

We proove a new duality relation between stable Lévy processes with index [InlineMediaObject not available: see fulltext.] and those with index [InlineMediaObject not available: see fulltext.]. This duality appears to be the trajectorial version of the duality of Zolotarev which concerns one dimensional stable laws. We give an application of this result to the behaviour of the paths at small and large times of the process ``conditioned to stay positive''. [ABSTRACT FROM AUTHOR]

Copyright of Probability Theory & Related Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)