The multifractal nature of Lévy processes

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Abstract

We show that the sample paths of most Lévy processes are multifractal functions and we determine their spectrum of singularities.

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Jaffard, S. (1999). The multifractal nature of Lévy processes. Probability Theory and Related Fields, 114(2), 207–227. https://doi.org/10.1007/s004400050224

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