8 papers
Metric-Independent Expansiveness
Alfonso Artigue, Luis Ferrari
In this article we introduce and study a natural form of expansivity, that we call \textit{metric-independent expansiveness}, for group actions on metrizable spaces. This notion me…
-generic continuum-wise expansive surface diffeomorphisms
Alfonso Artigue, Bernardo Carvalho, José Cueto
We exhibit a local residual set of surface diffeomorphisms that are continuum-wise expansive but are not expansive. We also exhibit an open and dense set of surface dif…
Expansive Minimal Flows
Alfonso Artigue, Elias Rego
In this paper, we extend a Mañé's famous result on expansive homeomorphisms, originally presented in [17], to the setting of flows. Specifically, we provide a complete characteri…
Shadowing maps
Alfonso Artigue
This article is about the shadowing property of homeomorphisms on compact metric spaces and the map associating a point of the space to each pseudo-orbit, called 'shadowing map'. B…
Generic surface homeomorphisms are almost continuum-wise expansive
Alfonso Artigue
We show that for a compact surface without boundary the set of cw-expansive homeomorphisms is dense in the set of all the homeomorphisms of with respect to the topolo…
Relativistic one-dimensional billiards
Alfonso Artigue
In this article we study the dynamics of one-dimensional relativistic billiards containing particles with positive and negative energy. We study configurations with two identical p…