Listar por tema "Topological entropy"

Mostrando ítems 1-5 de 5

    • Density of the level sets of the metric mean dimension for homeomorphisms 

      Muentes Acevedo, Jeovanny de Jesus; Romaña Ibarra, Sergio; Arias Cantillo, Raibel (Cartagena de IndiasCampus Tecnológico, 2023-12-10)
      Let N be an n-dimensional compact riemannian manifold, with n ≥ 2. In this paper, we prove that for any α ∈ [0, n], the set consisting of homeomorphisms on N with lower and upper metric mean dimensions equal to α is dense ...

    • Genericity of Continuous Maps with Positive Metric Mean Dimension 

      Muentes Acevedo, Jeovanny (Cartagena de Indias, 2021-11-02)
      M. Gromov introduced the mean dimension for a continuous map in the late 1990’s, which is an invariant under topological conjugacy. On the other hand, the notion of metric mean dimension for a dynamical system was introduced ...

    • Genericity of Homeomorphisms with Full Mean Hausdorff Dimension 

      Muentes Acevedo, Jeovanny de Jesus (Cartagena de IndiasCampus Tecnológico, 2024-04-18)
      It is well known that the presence of horseshoes leads to positive entropy. If our goal is to construct a continuous map with infinite entropy, we can consider an infinite sequence of horseshoes, ensuring an unbounded ...

    • Hölder continuous maps on the interval with positive metric mean dimension 

      Muentes Acevedo, Jeovanny de Jesus; Romana Ibarra, Sergio Augusto; Arias Cantillo, Raibel de Jesús (Cartagena de IndiasCampus Tecnológico, 2023-11)
      Fix a compact metric space X with finite topological dimension. Let C0(X) be the space of continuous maps on X and Hα(X) the space of α-Hölder continuous maps on X, for α ∈ (0, 1]. Let H1(X) be the space of Lipschitz ...

    • Mean Dimension and Metric Mean Dimension for Non-autonomous Dynamical Systems 

      Rodrigues, Fagner B.; Muentes Acevedo, Jeovanny (Cartagena de Indias, 2020-10-07)
      In this paper we extend the definitions of mean dimension and metric mean dimension for non-autonomous dynamical systems. We show some properties of this extension and furthermore some applications to the mean dimension ...

      Universidad Tecnológica de Bolívar - 2017 Institución de Educación Superior sujeta a inspección y vigilancia por el Ministerio de Educación Nacional. Resolución No 961 del 26 de octubre de 1970 a través de la cual la Gobernación de Bolívar otorga la Personería Jurídica a la Universidad Tecnológica de Bolívar.