activity
20082026
most citedBeyond topological hyperbolicity: the L-shadowing property

29 citations · 77 across the 27 of their papers we have counts for

collaborators

47 papers

math.DS2026

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…

math.DS2026

-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…

math.DS2025

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…

math.DS2025

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…

math.DS2025

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…

math.DS2025

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 characteriza…