29 citations · 77 across the 27 of their papers we have counts for
9 papers · 1 filter
Expansivity on Commutative Rings
Alfonso Artigue, Mariana Haim
In this article we extend the notion of expansivity from topological dynamics to automorphisms of commutative rings with identity. We show that a ring admits a 0-expansive automorp…
Billiards and toy gravitons
Alfonso Artigue
In this article we study the one-dimensional dynamics of elastic collisions of particles with positive and negative mass. We show that such systems are equivalent to billiards indu…
An expansive homeomorphism of a 3-manifold with a local stable set that is not locally connected
Alfonso Artigue
In this article we construct an expansive homeomorphism of a compact three-dimensional manifold with a fixed point whose local stable set is not locally connected. This homeomorphi…
Dendritations of Surfaces
Alfonso Artigue
In this paper we develop a generalization of foliated manifolds in the context of metric spaces. In particular we study dendritations of surfaces that are defined as maximal atlase…
Self-Similar Hyperbolicity
Alfonso Artigue
In this paper we consider expansive homeomorphisms of compact spaces with a hyperbolic metric presenting a self-similar behavior on stable and unstable sets. Several application ar…
Polynomial Entropy and Expansivity
Alfonso Artigue, Dante Carrasco-Olivera, Ignacio Monteverde
In this paper we study the polynomial entropy of homeomorphism on compact metric space. We construct a homeomorphism on a compact metric space with vanishing polynomial entropy tha…