Geodesic
The multifractal box dimensions of typical measures
Frédéric Bayart1
1 Clermont Université Université Blaise Pascal Laboratoire de Mathématiques BP 10448, F-63000 Clermont-Ferrand, France and CNRS, UMR 6620 Laboratoire de Mathématiques F-63177 Aubière, France
Fundamenta Mathematicae, Tome 219 (2012) no. 2, pp. 145-162

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We compute the typical (in the sense of Baire's category theorem) multifractal box dimensions of measures on a compact subset of $\mathbb R^d$. Our results are new even in the context of box dimensions of measures.
DOI : 10.4064/fm219-2-5
Keywords: compute typical sense baires category theorem multifractal box dimensions measures compact subset mathbb results even context box dimensions measures

Frédéric Bayart 1

1 Clermont Université Université Blaise Pascal Laboratoire de Mathématiques BP 10448, F-63000 Clermont-Ferrand, France and CNRS, UMR 6620 Laboratoire de Mathématiques F-63177 Aubière, France 
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Frédéric Bayart. The multifractal box dimensions of typical measures. Fundamenta Mathematicae, Tome 219 (2012) no. 2, pp. 145-162. doi: 10.4064/fm219-2-5

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