Phase transitions in the multifractal analysis of self-similar measures.

DOI10.1016/j.crma.2005.03.020zbMath1077.28009OpenAlexW2018600074MaRDI QIDQ556918

Benoît Testud

Publication date: 23 June 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.03.020

zbMATH Keywords

Hausdorff dimensionmultifractalself-similar measure

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (1)

The \(L^q\) spectra and Rényi dimension of generalized inhomogeneous self-similar measures

Cites Work

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• Estimates for the lower and the upper dimension of a measure
• The validity of the multifractal formalism: Results and examples
• A multifractal formalism
• On the Gibbs properties of Bernoulli convolutions related to \(\beta\)-numeration in multinacci bases
• Weak quasi-Bernoulli measures: results and examples
• Phase transitions for the multifractal analysis of self-similar measures
• On the multifractal analysis of measures

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