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