The Katok's entropy formula for amenable group actions
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Publication:1661180
DOI10.3934/dcds.2018195zbMath1396.37009OpenAlexW2809616239MaRDI QIDQ1661180
Xiaojun Huang, Jinsong Liu, Chang Rong Zhu
Publication date: 16 August 2018
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2018195
Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Means on groups, semigroups, etc.; amenable groups (43A07)
Related Items (5)
An alternative definition of topological entropy for amenable group actions ⋮ Localized topological pressure for amenable group actions ⋮ Topological \(r\)-entropy and measure theoretic \(r\)-entropy for amenable group actions ⋮ A Billingsley-type theorem for the pressure of an action of an amenable group ⋮ A variational principle of topological pressure on subsets for amenable group actions
Cites Work
- Local entropy theory for a countable discrete amenable group action
- Topological pressure for sub-additive potentials of amenable group actions
- Entropy of automorphisms arising from dynamical systems through discrete groups with amen\-able actions
- Return times, recurrence densities and entropy for actions of some discrete amenable groups
- Entropy and isomorphism theorems for actions of amenable groups
- Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
- Entropy and mixing for amenable group actions
- Pointwise theorems for amenable groups.
- The spectrum of completely positive entropy actions of countable amenable groups
- Almost-additive ergodic theorems for amenable groups
- Pointwise ergodic theorems beyond amenable groups
- Topological Entropy
- Fuglede–Kadison determinants and entropy for actions of discrete amenable groups
- Entropy for Group Endomorphisms and Homogeneous Spaces
- ON THE RELATIONS AMONG VARIOUS ENTROPY CHARACTERISTICS OF DYNAMICAL SYSTEMS
- Ergodic Theory
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