The multifractal box dimensions of typical measures
Tom 219 / 2012
Fundamenta Mathematicae 219 (2012), 145-162 MSC: Primary 28A80. DOI: 10.4064/fm219-2-5
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.