Geodesic
The multifractal box dimensions of typical 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
Fundamenta Mathematicae, Tome 219 (2012) no. 2, pp. 145-162 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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