4 citations · 12 across the 17 of their papers we have counts for
17 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…
A survey on the growth rate inequality for sphere endomorphisms
Juliana Xavier
We survey recent results and current challenges concerning the growth rate inequality for sphere endomorphisms, and present a number of open problems and conjectures arising in thi…
Quotients of torus endomorphisms have parabolic orbifolds
Sofía Llavayol, Juliana Xavier
In this work we show that every quotient of a torus endomorphism has a parabolic orbifold. This answers a question of Mario Bonk and Daniel Meyer posed in their book "Expanding Thu…
Linearization of topologically Anosov homeomorphisms of non compact surfaces
Gonzalo Cousillas, Jorge Groisman, Juliana Xavier
We study the dynamics of Topologically Anosov homeomorphisms of non compact surfaces. In the case of surfaces of genus zero and finite type, we classify them. We prove that if $f:S…
Topologically Anosov plane homeomorphisms
Gonzalo Cousillas, Jorge Groisman, Juliana Xavier
This paper deals with classifying the dynamics of {\it Topologically Anosov} plane homeomorphisms. We prove that a Topologically Anosov homeomorphism $f:\mathbb{R}^2 \to \mathbb{R}…
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…