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Processus à régularité locale prescrite

Abstract : The local variation of the irregularity of a function can be measured by the associated Hölder function. It is shown in [Daoudi&Lévy-Véhel.1998] that H is the Hölder function of a continuous function f if and only if H may be written as a lower limit of continuous fictions. One possible construction of f consist in generalizing the well-known Weierstrass function. In this note this result is extended to the stochastic context.
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https://hal.inria.fr/inria-00581041
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Submitted on : Wednesday, March 30, 2011 - 9:29:05 AM
Last modification on : Wednesday, June 1, 2022 - 4:33:03 AM
Long-term archiving on: : Saturday, December 3, 2016 - 2:27:02 PM

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  • HAL Id : inria-00581041, version 1

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Antoine Ayache, Jacques Lévy Véhel. Processus à régularité locale prescrite. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2001, 333 (3), pp.233-238. ⟨inria-00581041⟩

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