Density of metric entropies for linear toral automorphisms

DOI10.1080/14689367.2011.649246zbMath1244.37007OpenAlexW2010175756MaRDI QIDQ2904333

Peng Sun

Publication date: 13 August 2012

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2011.649246

zbMATH Keywords

entropyergodic invariant measurelinear toral automorphism

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (10)

High pointwise emergence and Katok’s conjecture for symbolic systems with non-uniform structure ⋮ Unique ergodicity for zero-entropy dynamical systems with the approximate product property ⋮ Measures of intermediate entropies and homogeneous dynamics ⋮ Measures of intermediate entropies for star vector fields ⋮ Intermediate Lyapunov exponents for systems with periodic orbit gluing property ⋮ Ergodic universality of some topological dynamical systems ⋮ Denseness of intermediate pressures for systems with the Climenhaga-Thompson structures ⋮ Schmidt games and non-dense forward orbits of certain partially hyperbolic systems ⋮ Equilibrium states of intermediate entropies ⋮ Zero-entropy dynamical systems with the gluing orbit property

Cites Work

• Symbolic representations of nonexpansive group automorphisms
• Measures of intermediate entropies for skew product diffeomorphisms
• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• Continuity properties of entropy
• Contributions to the stability conjecture
• Invariant sets and measures of nonexpansive group automorphisms
• Zero-entropy invariant measures for skew product diffeomorphisms
• Dynamical properties of quasihyperbolic toral automorphisms

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