A direct proof of the tail variational principle and its extension to maps
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Publication:3625413
DOI10.1017/S0143385708080425zbMath1160.37320MaRDI QIDQ3625413
Publication date: 5 May 2009
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40)
Related Items (18)
Tail pressure and the tail entropy function ⋮ Unique equilibrium states for Bonatti–Viana diffeomorphisms ⋮ Embedding asymptotically expansive systems ⋮ Relative topological conditional entropy and a Ledrappier's type variational principle for it ⋮ Sub-additive topological and measure-theoretic tail pressures ⋮ Symbolic extensions and uniform generators for topological regular flows ⋮ Relative tail entropy for random bundle transformations ⋮ Tail variational principle and asymptotic \(h\)-expansiveness for amenable group actions ⋮ Unnamed Item ⋮ \(\mathcal{C}^{2}\) surface diffeomorphisms have symbolic extensions ⋮ Upper bounds on measure-theoretic tail entropy for dominated splittings ⋮ Tail variational principle for a countable discrete amenable group action ⋮ Different forms of entropy dimension for zero entropy systems ⋮ Ergodic universality of some topological dynamical systems ⋮ Variational principle for topological tail pressures with sub-additive upper semi-continuous potentials ⋮ Tail entropy and hyperbolicity of measures ⋮ Smooth interval maps have symbolic extensions ⋮ Topological conditional entropy for amenable group actions
Cites Work
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- Volume growth and entropy
- Continuity properties of entropy
- Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
- Intrinsic ergodicity of smooth interval maps
- Mean dimension, small entropy factors and an embedding theorem
- The entropy theory of symbolic extensions
- Fiber entropy and conditional variational principles in compact non-metrizable spaces
- A Relativised Variational Principle for Continuous Transformations
- Topological Entropy Bounds Measure-Theoretic Entropy
- Relating Topological Entropy and Measure Entropy
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