Typical multifractal box dimensions of measures

• Autorzy: L. Olsen
• Języki publikacji: EN

Abstrakty

EN

We study the typical behaviour (in the sense of Baire's category) of the multifractal box dimensions of measures on $ℝ^{d}$. We prove that in many cases a typical measure μ is as irregular as possible, i.e. the lower multifractal box dimensions of μ attain the smallest possible value and the upper multifractal box dimensions of μ attain the largest possible value.

Kategorie tematyczne

• 28A80: Fractals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2011
• Tom: 211
• Numer: 3
• Strony: 245-266

Daty

wydano

2011

Twórcy

autor

L. Olsen

• Department of Mathematics, University of St. Andrews, St. Andrews, Fife KY16 9SS, Scotland

Identyfikatory

DOI

10.4064/fm211-3-3