Zobrazeno 1 - 10
of 24
pro vyhledávání: '"37E45, 37E30"'
We prove a structure theorem for ergodic homological rotation sets of homeomorphisms isotopic to the identity on a closed orientable hyperbolic surface: this set is made of a finite number of pieces that are either one-dimensional or almost convex. T
Externí odkaz:
http://arxiv.org/abs/2312.06249
In this article, we give a growth rate about the number of periodic orbits in the Franks type theorem obtained by the authors \cite{LWY}. As applications, we prove the following two results: there exist infinitely many distinct non-contractible close
Externí odkaz:
http://arxiv.org/abs/2211.10913
In this article, we give two refinements of Franks' theorem: For orientation and area preserving homeomorphisms of the closed or open annulus, the existence of $k$-periodic orbits ($(k,n_0)=1$) forces the existence of infinitely many periodic orbits
Externí odkaz:
http://arxiv.org/abs/2202.11517
This article deals with directional rotational deviations for non-wandering periodic point free homeomorphisms of the 2-torus which are homotopic to the identity. We prove that under mild assumptions, such a homeomorphism exhibits uniformly bounded r
Externí odkaz:
http://arxiv.org/abs/1704.04788
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
Autor:
Kocsard, Alejandro
We prove that any minimal $2$-torus homeomorphism which is isotopic to the identity and whose rotation set is not just a point exhibits uniformly bounded rotational deviations on the perpendicular direction to the rotation set. As a consequence of th
Externí odkaz:
http://arxiv.org/abs/1611.03784
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:
Liu, Hui, Wang, Jian
In this paper, we give a refinement of a theorem by Franks, which answers two questions raised by Kang.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/1511.06803
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
Publikováno v:
Ergodic Theory and Dynamical Systems, 35(3), 883-894 (2015)
Let $f$ be a transitive homeomorphism of the two-dimensional torus in the homotopy class of the identity. We show that a lift of $f$ to the universal covering is transitive if and only if the rotation set of the lift contains the origin in its interi
Externí odkaz:
http://arxiv.org/abs/1208.0859