Local self-similarity and the Hausdorff dimension |
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| Authors: | Albert Benassi Serge Cohen Jacques Istas |
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| Institution: | 1. Université Blaise Pascal (Clermont-Ferrand II), LaMP, CNRS UPRESA 6016, 63177 Aubière cedex, France;2. Université Paul Sabatier, UFR MIG, Laboratoire de statistique et de probabilités, 118, route de Narbonne, 31062 Toulouse, France;3. Département IMSS, BSHM, Université Pierre Mendès-France, 38000 Grenoble, France |
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| Abstract: | Let X be a locally self-similar stochastic process of index 0<H<1 whose sample paths are a.s. CH?ε for all ε>0. Then the Hausdorff dimension of the graph of X is a.s. 2?H. To cite this article: A. Benassi et al., C. R. Acad. Sci. Paris, Ser. I 336 (2003). |
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