Joint integrability and spectral rigidity for Anosov diffeomorphisms
From MaRDI portal
Publication:6139779
DOI10.1112/plms.12568arXiv2207.00704MaRDI QIDQ6139779
Publication date: 19 December 2023
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.00704
Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Invariant manifold theory for dynamical systems (37D10) Partially hyperbolic systems and dominated splittings (37D30)
Cites Work
- Dynamical coherence of partially hyperbolic diffeomorphisms of tori isotopic to Anosov
- Absolute continuity, Lyapunov exponents and rigidity. I: Geodesic flows
- Ergodic components of partially hyperbolic systems
- Bootstrap for local rigidity of Anosov automorphisms on the 3-torus
- Livšic theorem for matrix cocycles
- Sequences, discrepancies and applications
- Hölder foliations
- Stable ergodicity of certain linear automorphisms of the torus
- A regularity lemma for functions of several variables
- Extremal Lyapunov exponents: an invariance principle and applications
- Smooth conjugacy of anosov diffeomorphisms on higher-dimensional tori
- How typical are pathological foliations in partially hyperbolic dynamics: an example
- Global rigidity of some abelian-by-cyclic group actions on \(\mathbb{T}^2\)
- Pathology and asymmetry: centralizer rigidity for partially hyperbolic diffeomorphisms
- Local rigidity of Lyapunov spectrum for toral automorphisms
- Rigidity of center Lyapunov exponents and \(su\)-integrability
- Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus
- Lyapunov exponents and rigidity of Anosov automorphisms and skew products
- Local rigidity for Anosov automorphisms. With an appendix by Rafael de la Llave
- Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle
- Ergodicity and partial hyperbolicity on the 3-torus
- Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits
- On Anosov diffeomorphisms with asymptotically conformal periodic data
- On dynamical coherence
- Stability of accessibility
- Rigidity of higher-dimensional conformal Anosov systems
- Absolute continuity, Lyapunov exponents, and rigidity II: systems with compact center leaves
- Smoothness of stable holonomies inside center-stable manifolds
- Anosov Diffeomorphisms on Tori
- There are No New Anosov Diffeomorphisms on Tori
- Anosov Flows
- Accessibility of derived-from-Anosov systems
- Invariant manifolds
- Smooth local rigidity for hyperbolic toral automorphisms