Measures and their dimension spectrums for cookie-cutter sets in \(\mathbb{R}^d\)

DOI10.1007/BF02670959zbMath0970.28004OpenAlexW108790492MaRDI QIDQ1568225

Zu-Guo Yu, Jin-Rong Liang, Fu-Yao Ren

Publication date: 4 February 2001

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02670959

zbMATH Keywords

Hausdorff dimensionfractalsmultifractalsself-similar setsGibbs measurescookie-cutter setsorder-two densitiesself-conformal sets

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Related Items (2)

A joint multifractal analysis of vector valued non Gibbs measures ⋮ On the effect of projections on the Billingsley dimensions

Cites Work

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• Multifractal Decompositions of Digraph Recursive Fractals
• A Variational Principle for the Pressure of Continuous Transformations
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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