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Lacunary Fractional Brownian Motion

Published online by Cambridge University Press:  01 August 2012

Marianne Clausel*
Affiliation:
Laboratoire d’Analyse et de Mathématiques Appliquées, UMR 8050 du CNRS, Université Paris Est, 61 Avenue du Général de Gaulle, 94010 Créteil Cedex, France. [email protected]
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Abstract

In this paper, a new class of Gaussian field is introduced called Lacunary Fractional Brownian Motion. Surprisingly we show that usually their tangent fields are not unique at every point. We also investigate the smoothness of the sample paths of Lacunary Fractional Brownian Motion using wavelet analysis.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2012

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