4 citations · 10 across the 12 of their papers we have counts for
14 papers
Non-locally connected spaces I: Coverings and branched coverings on metric spaces
Jorge Iglesias, Aldo Portela, Álvaro Rovella +1
Whether a rational function can have an indecomposable continuum as its Julia set is a fundamental open problem in complex dynamics. We settle this negatively for one of the most c…
C0-Stability for actions implies shadowing property
Jorge Iglesias, Aldo Portela
We will construct an action , C0 and C1-stable and we will prove that every C0-stable action acting in a manifold of dimensions greater or equal to two, have the shadowing prope…
Shadowing Property for the free group acting in the circle
Jorge Iglesias, Aldo Portela
For the free group acting in , we will prove that if the minimal set for the action is not a Cantor set, then the action does not have the shadowing property. We will…
stability of endomorphisms on two dimensional manifolds
J. Iglesias, A. Portela
A set of necessary conditions for stability of noninvertible maps is presented. It is proved that the conditions are sufficient for stability in compact oriented manifo…
A simple proof of a theorem of sensitivity
J. Iglesias, A. Portela
We prove that every transitive and non minimal semigroup with dense minimal points is sensitive. When the system is almost open, we obtain a generalization of this result.
On the growth rate inequality for periodic points in the two sphere
G. Honorato, J. Iglesias, A. Portela +3
Let be a continuous map such that . Suppose has two attracting fixed points denoted and and let . Assume that i…
Sphere branched coverings and the growth rate inequality
J. Iglesias, A. Portela, A. Rovella +1
We show that the growth inequality rate holds for branched coverings of degree of the sphere having a completely in…
Examples of minimal set for IFSs
Nancy Guelman, Jorge Iglesias, Aldo Portela
We exhibit different examples of minimal sets for an IFS of homeomorphisms with rotation number equal to 0. It is proved that these examples are, from a topological point of view,…
Dynamics of annulus maps III: completeness
J. Iglesias, A. Portela, A. Rovella +1
Consider a continuous surjective self map of the open annulus with degree d > 1. It is proved that the number of Nielsen classes of periodic points is maximum possible whenever f h…
Dynamics of annulus coverings II: periodic points
Jorge Iglesias, Aldo Portela, Alvaro Rovella +1
Let be a covering map of the open annulus of degree , . Assume that preserves an essential (i.e not contained in a disk of ) compact subs…
Robust transitivity for endomorphisms admitting critical points
Jorge Iglesias, Cristina Lizana, Aldo Portela
We address the problem of giving necessary and sufficient conditions in order to have robustly transitive endomorphisms admitting persistent critical sets. We exhibit different typ…
Dynamics of covering maps of the annulus I: semiconjugacies
Jorge Iglesias, Aldo Portela, Alvaro Rovella +1
It is often the case that a covering map of the open annulus is semiconjugate to a map of the circle of the same degree. We investigate this possibility and its consequences on the…
About -minimality of the hyperbolic Cantor sets
Liane Bordignon, Jorge Iglesias, Aldo Portela
In this work we prove that a -hyperbolic Cantor set contained in , close to an affine Cantor set, is not -minimal.
Surface Attractors
Jorge Iglesias, Aldo Portela, Álvaro Rovella +1
Let be a continuous endomorphism of a surface , and an attracting set such that the restriction is a covering map. We show that if is a local h…