Phase transitions for the multifractal analysis of self-similar measures

DOI10.1088/0951-7715/19/5/009zbMath1093.28007arXivmath/0604035OpenAlexW1973703779MaRDI QIDQ5476479

Benoît Testud

Publication date: 14 July 2006

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604035

zbMATH Keywords

Hausdorff dimensionmultifractal analysislocal dimensionHölder exponentself-similar measuressingularity spectrum

Mathematics Subject Classification ID

Related Items (14)

Lyapunov exponents for products of matrices and multifractal analysis. II: General matrices ⋮ The thermodynamic approach to multifractal analysis ⋮ Local dimensions of self-similar measures satisfying the finite neighbour condition* ⋮ Multifractal analysis of Bernoulli convolutions associated with Salem numbers ⋮ Multifractal analysis for projections of Gibbs and related measures ⋮ The \(L^q\) spectra and Rényi dimension of generalized inhomogeneous self-similar measures ⋮ Multifractal analysis of inhomogeneous Bernoulli products ⋮ Phase transitions in the multifractal analysis of self-similar measures. ⋮ Lyapunov spectrum of asymptotically sub-additive potentials ⋮ Multifractal formalism for self-similar measures with weak separation condition ⋮ Multifractal Analysis of Cantor-Like Measures ⋮ Bounds for the \(L^q\)-spectra of a self-similar multifractal not satisfying the open set condition ⋮ A lower bound for the symbolic multifractal spectrum of a self-similar multifractal with arbitrary overlaps ⋮ Multifractal spectra of Moran measures without local dimension

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