2018/04/21 by Mohamed Menceur, Menceur, Mohamed, Anouar Ben Mabrouk +1 · 1 citation
Mathematics · Economics, Econometrics and Finance · Physics and Astronomy · #Mathematical Dynamics and Fractals #Complex Systems and Time Series Analysis #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1804.09034
The multifractal formalism for measures hold whenever the existence of corresponding Gibbs-like measures supported on the singularities sets holds. In the present work we tried to relax such a hypothesis and introduce a more general framework of mixed (and thus single) multifractal analysis where the measures constructed on the singularities sets are not Gibbs but controlled by an extra-function allowing the multifractal formalism to hold. We fall on the classical case by a particular choice of such a function.