Multifractal Analysis of Choquet Capacities

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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 Holder spectrum is, under mild conditions, prescribed. Copyright 1998 Academic Press.

Document Type: Research Article

Affiliations: Groupe Fractales, INRIA, Domaine de Voluceau, Le Chesnay Cedex, 78153, France

Publication date: January 1, 1998

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