Some exceptional phenomena in multifractal formalism. II

DOI10.4310/AJM.2005.v9.n4.a2zbMath1134.28008OpenAlexW4232928625MaRDI QIDQ2493480

Ka-Sing Lau, Xiang-Yang Wang, De-Jun Feng

Publication date: 19 June 2006

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/ajm.2005.v9.n4.a2

zbMATH Keywords

Hausdorff dimensionCantor measure\(L^q\)-spectrum, multifractal formalism

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fractals (28A80)

Related Items (10)

Lyapunov exponents for products of matrices and multifractal analysis. II: General matrices ⋮ Eigenvalues and eigenfunctions of one-dimensional fractal Laplacians defined by iterated function systems with overlaps ⋮ Local dimensions of measures of finite type III -- measures that are not equicontractive ⋮ Geometric and combinatorial properties of self-similar multifractal measures ⋮ Multifractal analysis for projections of Gibbs and related measures ⋮ The limited Rademacher functions and Bernoulli convolutions associated with Pisot numbers ⋮ Uniqueness of the measure with full dimension on sofic affine-invariant subsets of the 2-torus ⋮ Multifractal formalism for self-similar measures with weak separation condition ⋮ Multifractal Analysis of Cantor-Like Measures ⋮ Multifractal structure of Bernoulli convolutions

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