On some coding and mixing properties for a class of chaotic systems

DOI10.1007/s00605-011-0347-8zbMath1263.37050OpenAlexW2065457250MaRDI QIDQ1759668

Eugen Mihailescu

Publication date: 21 November 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0347-8

zbMATH Keywords

1-sided bernoullicitychaotic dynamics on folded fractalsequilibrium measures for hyperbolic non-invertible maps

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items

Overlap functions for measures in conformal iterated function systems, Entropy dimension of shifts of finite type on free groups, Skew product Smale endomorphisms over countable shifts of finite type, Higher dimensional expanding maps and toral extensions, Smale endomorphisms over graph-directed Markov systems

Cites Work

• Unstable directions and fractal dimension for skew products with overlaps in fibers
• Unstable manifolds and Hölder structures associated with noninvertible maps
• The thermodynamic formalism for expanding maps
• Transversal families of hyperbolic skew-products
• Rigidity of smooth one-sided Bernoulli endomorphisms
• The metric entropy of endomorphisms
• Positivity of entropy production in nonequilibrium statistical mechanics
• Ergodic automorphisms of \(T^ n\) are Bernoulli shifts
• Relations between stable dimension and the preimage counting function on basic sets with overlaps
• Metric properties of some fractal sets and applications of inverse pressure
• On the Bernoulli property for rational maps
• Anosov endomorphisms
• Automorphisms of the Bernoulli endomorphism and a class of skew-products
• Exact endomorphisms of a Lebesgue space
• LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS
• Endomorphisms of a Lebesgue space
• Statistical properties of chaotic systems
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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