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Multifractal Analysis of Choquet Capacities: Preliminary Results

Abstract : A multifractal analysis is defined for sequences of Choquet capacities with respect to a general class of measures, and some preliminary results are presented concerning the usual spectra. In particular, we show how to construct a sequence of capacities whose Hölder spectrum is, under mild conditions, prescribed.
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https://hal.inria.fr/inria-00599254
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Submitted on : Thursday, June 9, 2011 - 8:26:14 AM
Last modification on : Thursday, March 5, 2020 - 4:53:59 PM

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Jacques Lévy-Vehel, Robert Vojak. Multifractal Analysis of Choquet Capacities: Preliminary Results. Advances in Applied Mathematics, Elsevier, 1998, 20 (1), pp.1-43. ⟨inria-00599254⟩

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