Measures of intermediate entropies and homogeneous dynamics

DOI10.1088/1361-6544/aa8040zbMath1388.37004OpenAlexW2743436332MaRDI QIDQ5368874

No author found.

Publication date: 11 October 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/aa8040

zbMATH Keywords

homogeneous dynamicsalmost weak specification

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Homogeneous flows (37A17)

Related Items

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 ⋮ The irregular set for maps with almost weak specification property has full metric mean dimension ⋮ Measures of intermediate entropies for star vector fields ⋮ Intermediate Lyapunov exponents for systems with periodic orbit gluing property ⋮ Denseness of intermediate pressures for systems with the Climenhaga-Thompson structures ⋮ Equilibrium states of intermediate entropies ⋮ Zero-entropy dynamical systems with the gluing orbit property ⋮ Non-dense orbits of systems with the approximate product property ⋮ On the continuity of topological entropy of certain partially hyperbolic diffeomorphisms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On entropy of dynamical systems with almost specification
• Measures of intermediate entropies for skew product diffeomorphisms
• Volume growth and entropy
• Intrinsic ergodicity of smooth interval maps
• Démonstration de la conjecture \(\tau\). (Proof of the \(\tau\)-conjecture.)
• Sobolev spaces on Riemannian manifolds
• Logarithm laws for flows on homogeneous spaces
• Ergodic universality of some topological dynamical systems
• Density of metric entropies for linear toral automorphisms
• On uniqueness of invariant means
• Zero-dimensional covers of finite dimensional dynamical systems