Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Passeggi, Alejandro"'
We explore the relation of weak conjugacy in the group of homeomorphisms isotopic to the identity, for surfaces.
Comment: 18 pages, 2 figures
Comment: 18 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/2407.01042
Let $S$ be a closed surface of genus $g\geq 2$, furnished with a Borel probability measure $\lambda$ with total support. We show that if $f$ is a $\lambda$-preserving homeomorphism isotopic to the identity such that the rotation vector $\mathrm{rot}_
Externí odkaz:
http://arxiv.org/abs/2305.05755
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 their topological relation to invariant continua. These conditions allo
Externí odkaz:
http://arxiv.org/abs/2305.02963
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 small changes of their position. By assuming a global perspective and focu
Externí odkaz:
http://arxiv.org/abs/1903.05172
Autor:
Passeggi, Alejandro, Sambarino, Martín
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 of its rotation set.
Externí odkaz:
http://arxiv.org/abs/1803.03294
Autor:
Koropecki, Andres, Passeggi, Alejandro
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 topological attractor. This is in analogy with the description of flow lines gi
Externí odkaz:
http://arxiv.org/abs/1701.04644
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 set is a single point). In combination with recent results, t
Externí odkaz:
http://arxiv.org/abs/1611.05498
Publikováno v:
Geom. Topol. 22 (2018) 2145-2186
We show that if $f$ is an annular homeomorphism admitting an attractor which is an irreducible annular continua with two different rotation numbers, then the entropy of $f$ is positive. Further, the entropy is shown to be associated to a $C^0$-robust
Externí odkaz:
http://arxiv.org/abs/1511.04434
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 plane-separating continua. This shows that restrictions holding for r
Externí odkaz:
http://arxiv.org/abs/1408.2931
Autor:
Jäger, Tobias, Passeggi, Alejandro
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 conjecture asserts uniqueness of the rotation vector in this class of systems
Externí odkaz:
http://arxiv.org/abs/1305.0723