3 citations · 5 across the 7 of their papers we have counts for
7 papers
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…
Foliations and Conjugacy II: The Mendes Conjecture for Time-One Maps of Flows
Jorge Groisman, and Zbigniew Nitecki
A diffeomorphism in the plane is Anosov if it has a hyperbolic splitting at every point of the plane. The two known topological conjugacy classes of…
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}…
Topological entropy, sets of periods and transitivity for graph maps
Lluís Alsedà, Liane Bordignon, Jorge Groisman
Transitivity, the existence of periodic points and positive topological entropy can be used to characterize complexity in dynamical systems. It is known that for graphs that are no…
Foliations and Conjugacy:Anosov Structures in the plane
Jorge Groisman, Zbigniew Nitecki
In a non-compact setting, the notion of hyperbolicity, and the associated structure of stable and unstable manifolds (for unbounded orbits), is highly dependent on the choice of me…
Expansive homeomorphisms of the plane
Jorge Groisman
This article tackles the problem of the classification of expansive homeomorphisms of the plane. Necessary and sufficient conditions for a homeomorphism to be conjugate to a linear…