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Published March 2009 | public
Journal Article

Singularity sets of Lévy processes

Durand, Arnaud

Abstract

We completely describe the size and large intersection properties of the Hölder singularity sets of Lévy processes. We also study the set of times at which a given function cannot be a modulus of continuity of a Lévy process. The Hölder singularity sets of the sample paths of certain random wavelet series are investigated as well.

Additional Information

© 2008 Springer-Verlag. Received: 23 April 2007 Revised: 12 December 2007 Published online: 9 January 2008. The author is grateful to Stéphane Jaffard for many useful comments.

Additional details

Created:
August 21, 2023
Modified:
October 18, 2023