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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. 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…
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.
Area preserving homeomorphisms of surfaces with rational rotational direction
Pierre-Antoine Guihéneuf, Patrice Le Calvez, Alejandro Passeggi
Let be a closed surface of genus , furnished with a Borel probability measure with total support. We show that if is a -preserving homeomorphism isotopic to…
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…
Generic Rotation Sets in Hyperbolic Surfaces
J. Alonso, J. Brum, A. Passeggi
We show that for generic homeomorphisms homotopic to the identity in a closed and oriented surface of genus , the rotation set is given by a union of at most convex…