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Dynamics of composition operators induced by odometers
Udayan B. Darji, Daniel Gomes, Régis Varão
We study the linear dynamics of composition operators induced by measurable transformations on finite measure spaces, with particular emphasis on operators induced by odometers. Ou…
Anosov actions: minimality of foliations or suspension action
Rodrigo R. Lopes, Carlos Maquera, Régis Varão
We prove that an Anosov action of over a compact manifold transitive on regular sub-cones satisfies the dichotomy: each stable and unstable leaf is dense or the…
Entropy for compact operators and results on entropy and specification
Paulo Lupatini, Felipe Silva, Régis Varão
We investigate the topological entropy of operators. More precisely, in the Banach space setting, we show that compact operators have finite entropy, which depends solely on their…
Folding and Metric Entropies for Extended Shifts
Neemias Martins, Pedro G. Mattos, Régis Varão
In this paper we calculate the metric and folding entropies for a family of non-invertible symbolic dynamical systems which generalizes the standard bilateral…
The Orbit Space Approach for Piecewise Smooth Vector Fields
Otávio M. L. Gomide, Pedro G. Mattos, Régis Varão
In this work we develop a well-defined theory of orbit spaces for piecewise smooth vector fields (PSVFs). This approach is inspired by the techniques already used in the study of e…