The topological entropy of non-dense orbits and generalized Schmidt games
From MaRDI portal
Publication:4645906
DOI10.1017/etds.2017.32zbMath1447.37026OpenAlexW2614407244MaRDI QIDQ4645906
Publication date: 11 January 2019
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/etds.2017.32
topological entropypartially hyperbolic diffeomorphismnon-dense orbitsgeneralised Schmidt gamesunstable metric entropy
Games involving topology, set theory, or logic (91A44) Topological entropy (37B40) Partially hyperbolic systems and dominated splittings (37D30)
Related Items (2)
Non-dense orbits of systems with the approximate product property ⋮ Unstable entropies and dimension theory of partially hyperbolic systems
Cites Work
- Unnamed Item
- 2-dimensional badly approximable vectors and Schmidt's game
- Modified Schmidt games and non-dense forward orbits of partially hyperbolic systems
- Variational principle for topological pressures on subsets
- Bounded orbits of flows on homogeneous spaces
- Modified Schmidt games and Diophantine approximation with weights
- Simultaneous dense and nondense orbits for commuting maps
- An exceptional set in the ergodic theory of expanding maps on manifolds
- Topological pressure and the variational principle for noncompact sets
- The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
- Bounded orbits of Anosov flows
- On non-dense orbits of certain non-algebraic dynamical systems
- Nondense orbits for Anosov diffeomorphisms of the \(2\)-torus
- Flows on homogeneous spaces and Diophantine properties of matrices.
- Scaled entropy for dynamical systems
- The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
- Modified Schmidt games and a conjecture of Margulis
- Badly approximable systems of affine forms and incompressibility on fractals
- Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle
- Badly approximable systems of linear forms
- Schmidt games and non-dense forward orbits of certain partially hyperbolic systems
- Badly approximable numbers and vectors in Cantor-like sets
- Schmidt’s game, fractals, and orbits of toral endomorphisms
- Badly approximable systems of affine forms, fractals, and Schmidt games
- A proof of the estimation from below in Pesin's entropy formula
- Bounded Orbits of Diagonalizable Flows on SL3(ℝ)/SL3(ℤ)
- Schmidt games and Markov partitions
- Gibbs measures for partially hyperbolic attractors
- Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
- Area and Hausdorff Dimension of Julia Sets of Entire Functions
- On orbits of endomorphisms of tori and the Schmidt game
- Bounded orbits of certain diagonalizable flows on $SL_{n}(R)/SL_{n}(Z)$
- Bounded geodesics in rank-1 locally symmetric spaces
- Topological Entropy for Noncompact Sets
- The Hausdorff dimension of the set of points with nondense orbit under a hyperbolic dynamical system
- Topological Entropy
- On Badly Approximable Numbers and Certain Games
This page was built for publication: The topological entropy of non-dense orbits and generalized Schmidt games