Measures of Full Dimension on Self-Affine Graphs

DOI10.1007/978-0-8176-4888-6_19zbMath1216.28010OpenAlexW1041252772MaRDI QIDQ2997648

Eric Olivier

Publication date: 9 May 2011

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-8176-4888-6_19

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78)

Cites Work

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• Equivalence of Gibbs and equilibrium states for homeomorphisms satisfying expansiveness and specification
• Ergodic theory on compact spaces
• The probability distribution and Hausdorff dimension of self-affine functions
• Subshifts of finite type and sofic systems
• Hausdorff dimensions of sofic affine-invariant sets
• The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
• Weak quasi-Bernoulli measures: results and examples
• On the Hausdorff dimension of some fractal sets
• Uniqueness of the measure with full dimension on sofic affine-invariant subsets of the 2-torus
• Invariant measures of full dimension for some expanding maps
• The Hausdorff dimension of general Sierpiński carpets
• Dimensions of compact invariant sets of some expanding maps
• Dimension, entropy and Lyapunov exponents
• A Note on Minimal Covers for Sofic Systems
• A characterization of self-affine functions
• Thermodynamic formalism of maps satisfying positive expansiveness and specification
• Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
• Measures of full dimension on affine-invariant sets
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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