Nonhyperbolic dynamics by mingling, blending, and flip-flopping
DOI10.1016/j.topol.2023.108571OpenAlexW4377694851WikidataQ122420506 ScholiaQ122420506MaRDI QIDQ6077866
Katrin Gelfert, Lorenzo J. Dıaz
Publication date: 27 September 2023
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2023.108571
entropyLyapunov exponentsskew productsrestricted variational principleselliptic matrix cocyclesnonhyperbolic measures
Entropy and other invariants (28D20) Ergodic theorems, spectral theory, Markov operators (37A30) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems with hyperbolic orbits and sets (37D05) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
Cites Work
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- The entropy of Lyapunov-optimizing measures of some matrix cocycles
- Persistence of nonhyperbolic measures for \(C^{1}\)-diffeomorphisms
- Extremal Lyapunov exponents: an invariance principle and applications
- Contributions to the stability conjecture
- A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
- Partial hyperbolicity and robust transitivity
- Uniform (projective) hyperbolicity or no hyperbolicity: a dichotomy for generic conservative maps
- Nonhyperbolic step skew-products: ergodic approximation
- Entropy spectrum of Lyapunov exponents for nonhyperbolic step skew-products and elliptic cocycles
- Entropy-expansiveness for partially hyperbolic diffeomorphisms
- Extremal exponents of random dynamical systems do not vanish
- Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
- Persistent nonhyperbolic transitive diffeomorphisms
- Uniformly hyperbolic finite-valued \(\mathrm{SL}(2,\mathbb R)\)-cocycles
- Variational principle for nonhyperbolic ergodic measures: skew products and elliptic cocycles
- Ergodic measures with multi-zero Lyapunov exponents inside homoclinic classes
- Anomalous partially hyperbolic diffeomorphisms. III: Abundance and incoherence
- Ergodic optimization
- Nonremovable zero Lyapunov exponent
- Robust criterion for the existence of nonhyperbolic ergodic measures
- Robust vanishing of all Lyapunov exponents for iterated function systems
- Abundance of $C^{1}$-robust homoclinic tangencies
- Skew product cycles with rich dynamics: From totally non-hyperbolic dynamics to fully prevalent hyperbolicity
- Non-hyperbolic ergodic measures with large support
- Non-hyperbolic ergodic measures for non-hyperbolic homoclinic classes
- A Variational Principle for the Pressure of Continuous Transformations
- MINIMALITY OF STRONG STABLE AND UNSTABLE FOLIATIONS FOR PARTIALLY HYPERBOLIC DIFFEOMORPHISMS
- Invariance principle and rigidity of high entropy measures
- On Dynamical Systems With the Specification Property
- Genericity of zero Lyapunov exponents
- Weak* and entropy approximation of nonhyperbolic measures: a geometrical approach
- Hyperbolicity versus non-hyperbolic ergodic measures inside homoclinic classes
- Anomalous Anosov flows revisited
- NON-HYPERBOLIC ERGODIC MEASURES AND HORSESHOES IN PARTIALLY HYPERBOLIC HOMOCLINIC CLASSES
- ERGODIC OPTIMIZATION OF BIRKHOFF AVERAGES AND LYAPUNOV EXPONENTS
- Topological Entropy for Noncompact Sets
- Ergodic optimization in dynamical systems
- Noncommuting Random Products
- SRB measures as zero-noise limits
- Invariant manifolds
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