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Symbolic dynamics for nonuniformly hyperbolic maps with singularities in high dimension

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arxiv 2010.11808 v2 pith:N5YCMKFW submitted 2020-10-22 math.DS math.SG

Ermerson Araujo , Yuri Lima , Mauricio Poletti This is my paper · ORCID
classification math.DSmath.SG
keywords mapshyperbolicmanifoldsnonuniformlyapplicationsbilliardclassicalclosed
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We construct Markov partitions for non-invertible and/or singular nonuniformly hyperbolic systems defined on higher dimensional Riemannian manifolds. The generality of the setup covers classical examples not treated so far, such as geodesic flows in closed manifolds, multidimensional billiard maps, and Viana maps, and includes all the recent results of the literature. We also provide a wealth of applications.

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Cited by 1 Pith paper

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  1. Equilibrium Stability for Open Zooming Systems

    math.DS 2025-02 reject novelty 5.0 of 10

    Equilibrium states for open zooming systems with locally Hölder induced potentials are claimed to be stable under C^0 perturbations of dynamics and potential, with applications to skew-products and uniqueness.

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