2 papers
math.DS2023
On the completely irregular set for systems with the shadowing property
Maria Carvalho, Vinícius Coelho, Luciana Salgado
We prove that the completely irregular set is Baire generic for every non-uniquely ergodic transitive continuous map which satisfies the shadowing property and acts on a compact me…
math.DS2022
Topological and metric emergence of continuous maps
Maria Carvalho, Fagner B. Rodrigues, Paulo Varandas
We prove that the homeomorphisms of a compact manifold with dimension one have zero topological emergence, whereas in dimension greater than one the topological emergence of a C^0-…