Multifractal Analysis of Choquet Capacities: Preliminary Results

Jacques Lévy-Vehel (1) , Robert Vojak (1)

1 FRACTALES - Fractals, complex models and artificial evolution

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.

Domaines: Probabilités [math.PR]

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