Invariant measures and uniform positive entropy property for inverse limits

DOI10.1007/s11766-999-0035-9zbMath0944.28015OpenAlexW2020635469MaRDI QIDQ1807844

LianFa He, Cui-Jun Liu

Publication date: 15 September 2000

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-999-0035-9

zbMATH Keywords

continuous mapuniformly positive entropyentropy map

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40)

Related Items (5)

Directional entropy of ℤ+k-actions ⋮ A transitive homeomorphism on the Lelek fan ⋮ The dynamical properties of a continuous semiflow and its inverse limit. ⋮ Minimal systems and distributionally scrambled sets ⋮ The entropies and multifractal spectrum of some compact systems

Cites Work

• Ergodic theory on compact spaces
• Invariant of topological pressure under some semi-conjugates
• Some systems with unique equilibrium states
• Ergodic theory for axiom A endomorphisms
• Inverse Limits, Entropy and Weak Isomorphism for Discrete Dynamical Systems
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