Measures with maximum total exponent and generic properties of \(C^1\) expanding maps

DOI10.32917/hmj/1389102580zbMath1347.37056OpenAlexW1528991708MaRDI QIDQ2446425

Takehiko Morita, Yusuke Tokunaga

Publication date: 16 April 2014

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.hmj/1389102580

zbMATH Keywords

expanding mapsoptimization measurestotal exponents

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items (2)

Lyapunov optimization for non-generic one-dimensional expanding Markov maps ⋮ Ergodic optimization in dynamical systems

Cites Work

• Unnamed Item
• On the category of ergodic measures
• Ergodic theory on compact spaces
• Cohomology classes of dynamically non-negative \(C^ k\) functions.
• Entropy and maximizing measures of generic continuous functions
• Ergodic optimization
• Generic properties of invariant measures for Axiom A diffeomorphisms
• La condition de Walters
• Lyapunov minimizing measures for expanding maps of the circle
• Lyapunov optimizing measures for C1 expanding maps of the circle
• Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
• Thermodynamic Formalism
• Endomorphisms of Compact Differentiable Manifolds
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

This page was built for publication: Measures with maximum total exponent and generic properties of \(C^1\) expanding maps