46 citations · 164 across the 25 of their papers we have counts for
28 papers
Rotation sets for random compositions of $\T$ homeomorphisms
Catalina Freijo, Fabio Tal
We study cocycles of homeomorphisms of $\T$ in the isotopy class of the identity over shift spaces, using as a tool a novel definition of rotation sets inspired in the classical wo…
Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs
M. J. Capiński, M. Gröger, A. Passeggi +1
We derive quantitative sufficient conditions for rotational chaos and diffusion in annular homeomorphisms, building on the topological criteria established in [31]. These condition…
Fully chaotic conservative models for some torus homeomorphisms
Alejo García-Sassi, Fábio Armando Tal
We study homotopic-to-the-identity torus homeomorphisms, whose rotation set has nonempty interior. We prove that any such map is monotonically semiconjugate to a homeomorphism that…
Conditions implying annular chaos
Alejandro Passeggi, Fabio Armando Tal
This work investigates topological chaos for homeomorphisms of the open annulus, introducing a new set of sufficient conditions based on points with distinct rotation numbers and t…
On Non-contractible Periodic Orbits and Bounded Deviations
Xiao-Chuan Liu, Fabio Armando Tal
We present a dichotomy for surface homeomorphisms in the isotopy class of the identity. We show that, in the absence of a degenerate fixed point set, either there exists a uniform…
On proper extensions of the conformal group of sphere diffeomorphisms
Ulisses Lakatos, Fábio Armando Tal
In this paper, we prove that any group of diffeomorphisms acting on the 2-sphere and properly extending the conformal group of Möbius transformations must be at least 4-transitive…