Anosov endomorphisms on the two-torus: regularity of foliations and rigidity

DOI10.1088/1361-6544/acf267zbMath1528.37036arXiv2104.01693OpenAlexW4386373839MaRDI QIDQ6048909

Unnamed Author, Régis Varão

Publication date: 15 September 2023

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.01693

zbMATH Keywords

hyperbolic dynamicsnon-invertible dynamicssmooth dynamics

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Foliations generated by dynamical systems (37C86)

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Equilibrium states for partially hyperbolic maps with one-dimensional center

Cites Work

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• Bootstrap for local rigidity of Anosov automorphisms on the 3-torus
• Smooth ergodic theory for endomorphisms
• A regularity lemma for functions of several variables
• \(C^1\)-differentiable conjugacy of Anosov diffeomorphisms on three dimensional torus
• Invariants for smooth conjugacy of hyperbolic dynamical systems. I
• Invariants for smooth conjugacy of hyperbolic dynamical systems. II
• Invariants for smooth conjugacy of hyperbolic dynamical systems. III
• Invariants for smooth conjugacy of hyperbolic dynamical systems. IV
• Smooth conjugacy and S-R-B measures for uniformly and non-uniformly hyperbolic systems
• Structural stability of the inverse limit of endomorphisms
• Local rigidity of Lyapunov spectrum for toral automorphisms
• Classification of special Anosov endomorphisms of nil-manifolds
• Local rigidity for Anosov automorphisms. With an appendix by Rafael de la Llave
• On the inverse limit stability of endomorphisms
• SRB measures and Pesin’s entropy formula for endomorphisms
• Center foliation: absolute continuity, disintegration and rigidity
• On the unstable directions and Lyapunov exponents of Anosov endomorphisms
• Anosov endomorphisms
• Dynamical coherence of specially absolutely partially hyperbolic endomorphisms on $ \newcommand{\TT}{{{\mathbb T}}} \TT^2$
• Regularity of foliations and Lyapunov exponents of partially hyperbolic dynamics on 3-torus
• Rigidity for partially hyperbolic diffeomorphisms
• Partially hyperbolic surface endomorphisms
• Lyapunov exponents and smooth invariant foliations for partially hyperbolic diffeomorphisms on
• Anosov Diffeomorphisms on Tori
• Rigidity for some cases of Anosov endomorphisms of torus