3 papers
math.DS2026
On sufficient conditions for the transitivity of homeomorphisms
Maria Carvalho, VinÃcius 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.DS2025
Metric mean dimension, Hölder regularity and Assouad spectrum
Alexandre Baraviera, Maria Carvalho, Gustavo Pessil
Metric mean dimension is a geometric invariant of dynamical systems with infinite topological entropy. We relate this concept with the fractal structure of the phase space and the…
math.DS2024
Shift operators and their classification
Maria Carvalho, Udayan B. Darji, Paulo Varandas
We introduce a class of linear bounded invertible operators on Banach spaces, called shift operators, which comprises weighted backward shifts and models finite products of weighte…