Symplectic partially hyperbolic automorphisms of 6-torus

DOI10.1016/j.geomphys.2023.105038arXiv2212.05110MaRDI QIDQ6141360

K. N. Trifonov, Lev M. Lerman

Publication date: 4 January 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.05110

zbMATH Keywords

partial hyperbolicitysymplectic automorphism

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Cites Work

• Kronecker's approximation theorem
• Stable ergodicity of certain linear automorphisms of the torus
• On the ergodicity of partially hyperbolic systems
• Markov partitions and \(C\)-diffeomorphisms
• Bernoulli shifts with the same entropy are isomorphic
• Ergodic automorphisms of \(T^ n\) are Bernoulli shifts
• Matrix Analysis
• PARTIALLY HYPERBOLIC DYNAMICAL SYSTEMS
• Geometry of symplectic partially hyperbolic automorphisms on 4-torus
• Anosov Diffeomorphisms on Tori
• There are No New Anosov Diffeomorphisms on Tori
• Higher cohomology for abelian groups of toral automorphisms II: the partially hyperbolic case, and corrigendum
• On automorphisms of compact groups
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Invariant manifolds
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