A dimension associated with a cutting of the square of a Gibbs measure

DOI10.1016/j.chaos.2014.03.004zbMath1348.37002OpenAlexW1982828970MaRDI QIDQ339821

Mounir Khelifi

Publication date: 11 November 2016

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2014.03.004

zbMATH Keywords

Hausdorff dimensionGibbs measureexact dimensionalsymbolic shift

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)

Related Items (1)

Projections of measures with small supports

Cites Work

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• Dimension theory for invariant measures of endomorphisms
• Estimates for the lower and the upper dimension of a measure
• The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
• Dimension d'ensembles plans définis par des propriétés des développements des coordonnées
• Mesures singulières associées à des découpages aléatoires d'un hypercube
• Gibbs measures on self-affine Sierpiński carpets and their singularity spectrum
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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