Work

Symbolic Dynamics for Nonuniformly Hyperbolic Maps with Singularities in High Dimension

Year: 2024

Type: article

Abstract: 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.

Source: Memoirs of the American Mathematical Society

DOI: 10.1090/memo/1511

Authors: Ermerson Araujo, Yuri Lima, Mauricio Poletti

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Instituto Serrapilheira

OpenAlex ID: W3094618729

FWCI: 5.201

Cites: 87

Cited by: 10

Related to: 10