Lyapunov exponents and rigidity of Anosov automorphisms and skew products
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Publication:2274028
DOI10.1016/j.aim.2019.106764zbMath1461.37033arXiv1802.08266OpenAlexW2969875854WikidataQ127350598 ScholiaQ127350598MaRDI QIDQ2274028
Publication date: 19 September 2019
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.08266
Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Partially hyperbolic systems and dominated splittings (37D30)
Related Items (18)
Smooth local rigidity for hyperbolic toral automorphisms ⋮ Center foliation rigidity for partially hyperbolic toral diffeomorphisms ⋮ Rigidity of stable Lyapunov exponents and integrability for Anosov maps ⋮ Joint integrability and spectral rigidity for Anosov diffeomorphisms ⋮ Rigidity of center Lyapunov exponents for Anosov diffeomorphisms on 3-torus ⋮ Local rigidity of Lyapunov spectrum for toral automorphisms ⋮ A note on rigidity of Anosov diffeomorphisms of the three torus ⋮ Local rigidity of certain solvable group actions on tori ⋮ Lyapunov exponents everywhere and rigidity ⋮ Local Lyapunov spectrum rigidity of nilmanifold automorphisms ⋮ (Dis)continuity of Lyapunov exponents ⋮ Entropy along expanding foliations ⋮ Global rigidity of some abelian-by-cyclic group actions on \(\mathbb{T}^2\) ⋮ Unstable entropy in smooth ergodic theory * ⋮ Classification of partially hyperbolic diffeomorphisms under some rigid conditions ⋮ Local rigidity for hyperbolic toral automorphisms ⋮ Flexibility of Lyapunov exponents ⋮ Carnot metrics, dynamics and local rigidity
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