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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.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.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…