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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…
Annular Chaos for Non-Wandering Homeomorphisms
Alejandro Passeggi, Favio Pirán
We study topological conditions ensuring the presence of rotational chaos for non-wandering or area-preserving annular homeomorphisms. Compared to previous criteria, our main resul…
Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs
M. J. CapiÅski, 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…
A note on weak conjugacy for homeomorphisms of surfaces
Frédéric Le Roux, Alejandro Passeggi, Martin Sambarino +1
We explore the relation of weak conjugacy in the group of homeomorphisms isotopic to the identity, for surfaces.