Multifractal Analysis of Choquet Capacities: Preliminary Results
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Jacques Levy Vehel
Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex (France)
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.