MULTIFRACTAL STRUCTURE OF NON-COMPACTLY SUPPORTED INFINITE MEASURES

DOI10.1142/S0218348X0800396XzbMath1160.28304MaRDI QIDQ3616632

Sze-Man Ngai

Publication date: 26 March 2009

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionbox dimensiondimension spectrum\(L^q\)-spectrum\(L^q\)-dimensionmultifractal measure

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (1)

Bounds for the \(L^q\)-spectra of self-similar measures without any separation conditions

Cites Work

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• Multifractal decompositions of Moran fractals
• Sur certaines martingales de Benoit Mandelbrot
• Multifractal measures and a weak separation condition
• The multifractal spectrum of statistically self-similar measures
• Self-conformal multifractal measures
• Estimates for the lower and the upper dimension of a measure
• An improved multifractal formalism and self-similar measures
• Thermodynamic formalism and multifractal analysis of conformal infinite iterated function systems
• A multifractal formalism
• The limited Rademacher functions and Bernoulli convolutions associated with Pisot numbers
• A modified multifractal formalism for a class of self-similar measures with overlap
• Fractal measures and their singularities: The characterization of strange sets
• Dimension, entropy and Lyapunov exponents
• A new class of markov processes for image encoding
• Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
• A dimension result arising from the $L^q$-spectrum of a measure
• SMOOTHNESS OF THE $L^{\lowercase{q}}$-SPECTRUM OF SELF-SIMILAR MEASURES WITH OVERLAPS
• ON THE THERMODYNAMIC FORMALISM FOR MULTIFRACTAL FUNCTIONS
• Multifractal of self-conformal measures

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