J. Xavier

activity

20122019

most citedHandel's fixed point theorem revisited

1 citations · 3 across the 6 of their papers we have counts for

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8 papers · 1 filter

math.DS2019

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…

math.DS2018

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}…

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

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…

math.DS2012★ 1 cited

A classification of minimal sets for surface homeomorphisms

Alejandro Passeggi, Juliana Xavier

We classify minimal sets of (closed and oriented) hyperbolic surface homeomorphisms by studying the connected components of their complement. This extends the classification given…

math.DS2012

Surface Attractors

Jorge Iglesias, Aldo Portela, Álvaro Rovella +1

Let $f$ be a continuous endomorphism of a surface $M$ , and $A$ an attracting set such that the restriction $f ∣_{A} : A \to A$ is a $d : 1$ covering map. We show that if $f$ is a local h…