A. Portela

activity

20122026

most citedOn the growth rate inequality for periodic points in the two sphere

1 citations · 1 across the 5 of their papers we have counts for

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8 papers · 1 filter

math.DS2026

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…

math.DS2019

C0-Stability for actions implies shadowing property

Jorge Iglesias, Aldo Portela

We will construct an action $Φ$ , 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…

math.DS2019

Shadowing Property for the free group acting in the circle

Jorge Iglesias, Aldo Portela

For the free group $F_{2}$ acting in $S^{1}$ , 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…

math.DS2017

$C^{1}$ stability of endomorphisms on two dimensional manifolds

J. Iglesias, A. Portela

A set of necessary conditions for $C^{1}$ stability of noninvertible maps is presented. It is proved that the conditions are sufficient for $C^{1}$ stability in compact oriented manifo…

math.DS2017★ 1 cited

On the growth rate inequality for periodic points in the two sphere

G. Honorato, J. Iglesias, A. Portela +3

Let $f : S^{2} \to S^{2}$ be a continuous map such that $d e g f = d, ∣ d ∣ > 1$ . Suppose $f$ has two attracting fixed points denoted $N$ and $S$ and let $A = S^{2} ∖ {N, S}$ . Assume that i…

math.DS2016

An example of a map which is $C^{2}$ robustly transitive but not $C^{1}$ (robustly transitive)

Jorge Iglesia, Aldo Portela

The aim of this work is to exhibit an example of an endomorphism of $\T^{2}$ which is $C^{2}$ -robustly transitive but not $C^{1}$ -robustly transitive.