Abstract
We study some explicit functions introduced by Riemann, Jordan, Lévy, Kahane… These functions share the property of having a dense set of discontinuities. We prove that they are examples of multifractal functions.
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Jaffard, S. Old friends revisited: the multifractal nature of some classical functions. The Journal of Fourier Analysis and Applications 3, 1–22 (1997). https://doi.org/10.1007/BF02647944
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DOI: https://doi.org/10.1007/BF02647944