3 papers
math.DS2025
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…
math.DS2021
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…
math.DS2014
Density of the set of symbolic dynamics with all ergodic measures supported on periodic orbits
T. C. Batista, J. S. Gonschorowski, F. A. Tal
Let be the Cantor set. We prove that arbitrarily close to a homeomorphism there exists a homeomorphism such that the -limit…