2 papers
math.DS2024
On sufficient conditions for the transitivity of homeomorphisms
Maria Carvalho, Vinícius Coelho, Luciana Salgado
We derive a necessary and sufficient condition for a homeomorphism with the shadowing property to be topologically transitive: to have an invariant subset , dense in the non-wan…
math.DS2020
A Kingman-like Theorem
Vinicius Coelho, Luciana Salgado
We provide a Kingman-like Theorem for arbitrary finite measures and a version of Birkhoff's Theorem for bounded observable. As an application, we show that Birkhoff's limit exists…