Flexibility of Lyapunov exponents

DOI10.1017/etds.2021.78zbMath1495.37024arXiv1908.07891OpenAlexW3205551319WikidataQ114118705 ScholiaQ114118705MaRDI QIDQ5021951

Jairo Bochi, Federico Rodriguez Hertz, Anatole Katok

Publication date: 17 January 2022

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07891

zbMATH Keywords

Lyapunov exponentsAnosov diffeomorphismsflexibilitydominated splittings

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Invariant manifold theory for dynamical systems (37D10) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (7)

Extended flexibility of Lyapunov exponents for Anosov diffeomorphisms ⋮ Rigidity and flexibility of polynomial entropy ⋮ Rigidity of stable Lyapunov exponents and integrability for Anosov maps ⋮ Flexibility of Lyapunov exponents for expanding circle maps ⋮ Flexibility of entropies for surfaces of negative curvature ⋮ Carnot metrics, dynamics and local rigidity ⋮ Flexibility of Lyapunov exponents with respect to two classes of measures on the torus

Cites Work

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• Arithmeticity and topology of smooth actions of higher rank abelian groups
• Partial hyperbolicity and foliations in \(\mathbb{T}^3\)
• On the regularization of conservative maps
• The Lyapunov exponents of generic volume-preserving and symplectic maps
• Infimum of the metric entropy of hyperbolic attractors with respect to the SRB measure
• Geometric expansion, Lyapunov exponents and foliations
• Volume growth and entropy
• Continuity properties of entropy
• Bernoulli diffeomorphisms on surfaces
• Flexibility of Lyapunov exponents for expanding circle maps
• Rigidity of equality of Lyapunov exponents for geodesic flows
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• Transformation groups in differential geometry.
• Pathological foliations and removable zero exponents
• Local rigidity of Lyapunov spectrum for toral automorphisms
• Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus
• Lyapunov exponents and rigidity of Anosov automorphisms and skew products
• Flexibility of entropies for surfaces of negative curvature
• Infimum of the metric entropy of volume preserving Anosov systems
• Perturbation of the Lyapunov spectra of periodic orbits
• A (short) survey on dominated splittings
• Central Lyapunov exponent of partially hyperbolic diffeomorphisms of 𝕋³
• Gibbs measures for partially hyperbolic attractors
• EXISTENCE OF SMOOTH ERGODIC FLOWS ON SMOOTH MANIFOLDS
• Removing zero Lyapunov exponents
• Every compact manifold carries a completely hyperbolic diffeomorphism
• Genericity of zero Lyapunov exponents
• -openness of non-uniform hyperbolic diffeomorphisms with bounded -norm
• Flexibility of geometric and dynamical data in fixed conformal classes
• ERGODIC OPTIMIZATION OF BIRKHOFF AVERAGES AND LYAPUNOV EXPONENTS
• A note on rigidity of Anosov diffeomorphisms of the three torus
• The space of Anosov diffeomorphisms
• Adapted metrics for dominated splittings
• On the Volume Elements on a Manifold
• Inequalities: theory of majorization and its applications

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