Multifractal Analysis of Choquet Capacities
Authors: Vehel, J.L.; Vojak, R.
Source: Advances in Applied Mathematics, Volume 20, Number 1, January 1998 , pp. 1-43(43)
Publisher: Academic Press
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 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