17 citations · 50 across the 13 of their papers we have counts for
18 papers
Period spectrum and rigidity of interval maps
Gabriel Fuhrmann, Maik Gröger, Alejandro Passeggi
We study the extent to which periodic orbits determine a one-dimensional dynamical system. In particular, we show that they determine every topologically mixing interval map. More…
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…
The bifurcation set as a topological invariant for one-dimensional dynamics
Gabriel Fuhrmann, Maik Gröger, Alejandro Passeggi
For a continuous map on the unit interval or circle, we define the bifurcation set to be the collection of those interval holes whose surviving set is sensitive to arbitrarily smal…
Deviations in the Franks-Misiurewicz conjecture
Alejandro Passeggi, Martín Sambarino
We show that if there exists a counter example for the rational case of the Franks-Misiurewicz conjecture, then it must exhibit unbounded deviations in the complementary direction…
A Poincaré-Bendixson theorem for translation lines and applications to prime ends
Andres Koropecki, Alejandro Passeggi
For an orientation-preserving homeomorphism of the sphere, we prove that if a translation line does not accumulate in a fixed point, then it necessarily spirals towards a topologic…
The Franks-Misiurewicz conjecture for extensions of irrational rotations
Andres Koropecki, Alejandro Passeggi, Martín Sambarino
We show that a toral homeomorphism which is homotopic to the identity and topologically semiconjugate to an irrational rotation of the circle is always a pseudo-rotation (i.e. its…
Rotation intervals and entropy on attracting annular continua
Alejandro Passeggi, Rafael Potrie, Martín Sambarino
We show that if is an annular homeomorphism admitting an attractor which is an irreducible annular continua with two different rotation numbers, then the entropy of is posi…
Rotation sets and almost periodic sequences
Tobias Jäger, Alejandro Passeggi, Sonja Štimac
We study the rotational behaviour on minimal sets of torus homeomorphisms and show that the associated rotation sets can be any type of line segments as well as non-convex and even…
On Torus Homeomorphisms Semiconjugate to irrational Rotations
Tobias Jäger, Alejandro Passeggi
In the context of the Franks-Misiurewicz Conjecture, we study homeomorphisms of the two-torus semiconjugate to an irrational rotation of the circle. As a special case, this conject…
Rational Polygons as Rotation Sets of Generic Homeomorphisms of the Two-Torus
Alejandro Passeggi
We prove the existence of an open and dense set D\subset? Homeo0(T2) (set of toral homeomorphisms homotopic to the identity) such that the rotation set of any element in D is a rat…
A classification of minimal sets for surface homeomorphisms
Alejandro Passeggi, Juliana Xavier
We classify minimal sets of (closed and oriented) hyperbolic surface homeomorphisms by studying the connected components of their complement. This extends the classification given…
A Classification of Minimal Sets of Torus Homeomorphisms
Tobias Jaeger, Ferry Kwakkel, Alejandro Passeggi
We provide a classification of minimal sets of homeomorphisms of the two-torus, in terms of the structure of their complement. We show that this structure is exactly one of the fol…
Examples of Minimal Diffeomorphisms on Semiconjugated to an Ergodic Translation
Alejandro Passeggi, Martin Sambarino
We prove that for every there exists a minimal diffeomorphism $f:\T^{2}\rightarrow\T^{2}$ of class and semiconjugate to an ergodic traslation, and have the followin…