Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Koropecki, Andres"'
In this paper we consider closed orientable surfaces $S$ of positive genus and $C^r$-diffeomorphisms $f:S\rightarrow S$ isotopic to the identity ($r\geq 1)$. The main objective is to study periodic open topological disks which are homotopically unbou
Externí odkaz:
http://arxiv.org/abs/2012.13305
We study a standard two-parameter family of area-preserving torus diffeomorphisms, known in theoretical physics as the kicked Harper model, by a combination of topological arguments and KAM-theory. We concentrate on the structure of the parameter set
Externí odkaz:
http://arxiv.org/abs/2003.00551
Given an orientation-preserving and area-preserving homeomorphism $f$ of the sphere, we prove that every point which is in the common boundary of three pairwise disjoint invariant open topological disks must be a fixed point. As an application, if $K
Externí odkaz:
http://arxiv.org/abs/1711.00920
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
We show that if the rotation set of a homeomorphism of the torus is stable under small perturbations of the dynamics, then it is a convex polygon with rational vertices. We also show that such homeomorphisms are $C^0$-generic and have bounded rotatio
Externí odkaz:
http://arxiv.org/abs/1609.01222
Autor:
Koropecki, Andres
An annular continuum is a compact connected set $K$ which separates a closed annulus $A$ into exactly two connected components, one containing each boundary component. The topology of such continua can be very intricate (for instance, non-locally con
Externí odkaz:
http://arxiv.org/abs/1507.06440
Autor:
Koropecki, Andres, Tal, Fabio Armando
We study the interplay between the dynamics of area-preserving surface homeomorphisms homotopic to the identity and the topology of the surface. We define fully essential dynamics and generalize the results previously obtained on strictly toral dynam
Externí odkaz:
http://arxiv.org/abs/1507.04611
Autor:
Jäger, Tobias, Koropecki, Andres
We extend Poincar\'e's theory of orientation-preserving homeomorphisms from the circle to circloids with decomposable boundary. As special cases, this includes both decomposable cofrontiers and decomposable cobasin boundaries. More precisely, we show
Externí odkaz:
http://arxiv.org/abs/1506.01096
We prove that if an area-preserving homeomorphism of the torus in the homotopy class of the identity has a rotation set which is a nondegenerate vertical segment containing the origin, then there exists an essential invariant annulus. In particular,
Externí odkaz:
http://arxiv.org/abs/1211.5044