4 papers
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…
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…
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…
Sensitivity and historic behavior for continuous maps on Baire metric spaces
M. Carvalho, V. Coelho, L. Salgado +1
We introduce a notion of sensitivity, with respect to a continuous bounded observable, which provides a sufficient condition for a continuous map, acting on a Baire metric space, t…