8 citations · 8 across the 2 of their papers we have counts for
4 papers
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…
Observing expansive maps
Mauricio Achigar, Alfonso Artigue, Ignacio Monteverde
We consider the problem of the observability of positively expansive maps by the time series associated to continuous real functions. For this purpose we prove a general result on…
Expansive Homeomorphisms on non-Hausdorff Spaces
Mauricio Achigar, Alfonso Artigue, Ignacio Monteverde
We study expansive dynamical systems from the viewpoint of general topology. We introduce the notions of orbit and refinement expansivity on topological spaces extending expansivit…
Rigidity for actions on the interval arising from hyperbolicity I: solvable groups
C. Bonatti, I. Monteverde, A. Navas +1
We consider Abelian-by-cyclic groups for which the cyclic factor acts by hyperbolic automorphisms on the Abelian subgroup. We show that if such a group acts faithfully by dif…