Maximal entropy measures for piecewise affine surface homeomorphisms
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Publication:3650296
DOI10.1017/S0143385708000953zbMath1186.37022arXiv0709.2010OpenAlexW2963861130MaRDI QIDQ3650296
Publication date: 14 December 2009
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0709.2010
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 (6)
Approximate topological conjugacy ⋮ surface diffeomorphisms with no maximal entropy measure ⋮ Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds ⋮ Discontinuity of topological entropy for Lozi maps ⋮ Symbolic dynamics for surface diffeomorphisms with positive entropy ⋮ Measures of maximal entropy for surface diffeomorphisms
Cites Work
- Unnamed Item
- Unnamed Item
- Large entropy implies existence of a maximal entropy measure for interval maps
- Entropy via multiplicity
- Lifting measures to Markov extensions
- Continuity properties of entropy
- On intrinsic ergodicity of piecewise monotonic transformations with positive entropy
- Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
- Intrinsic ergodicity of affine maps in \([0,1^ d\)]
- Intrinsic ergodicity of smooth interval maps
- Mixing \(C^r\) maps of the interval without maximal measure.
- Subshifts of quasi-finite type
- Markov extensions for multi-dimensional dynamical systems
- Ergodic properties of nonnegative matrices. I
- Almost isomorphism for countable state Markov shifts
- Periodic points for piecewise monotonic transformations
- Invariant measures for general(ized) induced transformations
- An Introduction to Symbolic Dynamics and Coding
- Lap number entropy formula for piecewise affine and projective maps in several dimensions
- Entropy for Group Endomorphisms and Homogeneous Spaces
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