Partially hyperbolic surface endomorphisms

DOI10.1017/etds.2019.55zbMath1460.37031arXiv1811.08977OpenAlexW3105666039WikidataQ127307046 ScholiaQ127307046MaRDI QIDQ5139073

Andy Hammerlindl, Layne Hall

Publication date: 4 December 2020

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

Full work available at URL: https://arxiv.org/abs/1811.08977

zbMATH Keywords

dynamical coherencepartial hyperbolicitynon-invertible dynamics

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Foliations in differential topology; geometric theory (57R30) Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (6)

Classification of partially hyperbolic surface endomorphisms ⋮ Some generic properties of partially hyperbolic endomorphisms* ⋮ Anosov endomorphisms on the two-torus: regularity of foliations and rigidity ⋮ Rigidity of stable Lyapunov exponents and integrability for Anosov maps ⋮ Equilibrium states for partially hyperbolic maps with one-dimensional center ⋮ Dynamically incoherent surface endomorphisms

Cites Work

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• Classification of partially hyperbolic diffeomorphisms in 3-manifolds with solvable fundamental group
• Anosov endomorphisms
• Dynamical coherence of specially absolutely partially hyperbolic endomorphisms on $ \newcommand{\TT}{{{\mathbb T}}} \TT^2$
• Partial hyperbolicity and classification: a survey
• On the Surface of Section and Periodic Trajectories

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