9 citations · 35 across the 12 of their papers we have counts for
12 papers
Genericity of homeomorphisms with full mean Hausdorff dimension
Jeovanny de Jesus Muentes Acevedo
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…
Hölder continuous maps on the interval with positive metric mean dimension
Jeovanny M. Acevedo, Sergio Romaña, Raibel Arias
Fix a compact metric space with finite topological dimension. Let be the space of continuous maps on and the space of -Hölder continuous maps on …
Density of the level sets of the metric mean dimension for homeomorphisms
Jeovanny de Jesus Muentes Acevedo, Sergio Romaña Ibarra, Raibel Arias Cantillo
Let be an -dimensional compact riemannian manifold, with . In this paper, we prove that for any , the set consisting of homeomorphisms on with lower…
Genericity of continuous maps with positive metric mean dimension
Jeovanny de Jesus Muentes Acevedo
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 dim…
Properties of mean dimension and metric mean dimension coming from the topological entropy
Jeovanny de Jesus Muentes Acevedo, Carlos Rafael Payares Guevara
In the late 1990's, M. Gromov introduced the notion of mean dimension for a continuous map, which is, as well as the topological entropy, an invariant under topological conjugacy.…
Mean dimension and metric mean dimension for non-autonomous dynamical systems
Fagner Bernardini Rodrigues, Jeovanny de Jesus Muentes Acevedo
In this paper we extend the definitions of mean dimension and metric mean di-mension for non-autonomous dynamical systems. We show some properties of this extension and furthermore…
On simple Lie 2-algebra of toral rank 3
Carlos Rafael Payares Guevara, Jeovanny de Jesus Muentes Acevedo
Simple Lie algebras of finite dimension over an algebraically closed field of characteristic 0 or were recently classified. However, the problem over an algebraically closed…
Local Stable and Unstable Manifolds for Anosov Families
Jeovanny de Jesus Muentes Acevedo
Anosov families were introduced by A. Fisher and P. Arnoux motivated by generalizing the notion of Anosov diffeomorphism defined on a compact Riemannian manifold. In addition to pr…
On the Continuity of the Topological Entropy of Non-autonomous Dynamical Systems
Jeovanny de Jesus Muentes Acevedo
Let be a compact Riemannian manifold. The set consisting of sequences of -diffeomorphisms on can be endowed with the com…
Structural stability and a characterization of Anosov families
Jeovanny de Jesus Muentes Acevedo
Anosov families are non-stationary dynamical systems with hyperbolic behavior. Non-trivial examples of Anosov families will be given in this paper. We show the existence of invaria…
Openness for Anosov families
Jeovanny de Jesus Muentes Acevedo
Anosov families were introduced by A. Fisher and P. Arnoux motivated by generalizing the notion of Anosov diffeomorphism defined on a compact Riemannian manifold. Roughly, an Anoso…
On to the continuity of the map square root of nonnegative isomorphisms in Hilbert spaces
Jeovanny de Jesus Muentes Acevedo
Let H be a real (or complex) Hilbert space. Every nonnegative operator admits a unique nonnegative square root , i.e., a nonnegative operator …