11 citations · 20 across the 5 of their papers we have counts for
5 papers · 1 filter
Blaschke-type models for multimodal circle maps
Edson de Faria, Welington de Melo, Pedro A. S. Salomão +1
For each integer , we construct a finite-dimensional family of rational maps, given by Blaschke-type products, whose restriction to the unit circle consists of -multi…
On the phenomenon of topological chaos and statistical triviality
Chao Liang, Xiankun Ren, Wenxiang Sun +1
There exists a compact manifold so that the set of topologically chaotic but statistically trivial vector fields on this manifold displays considerabl…
Takens' Last Problem and strong pluripotency
Shin Kiriki, Xiaolong Li, Yushi Nakano +2
We consider the concept of strong pluripotency of dynamical systems for a hyperbolic invariant set, as introduced in [KNS]. To the best of our knowledge, for the whole hyperbolic i…
Topological Entropy on Points without Physical-like Behaviour
Eleonora Catsigeras, Xueting Tian, Edson Vargas
We study a class of asymptotically entropy-expansive diffeomorphisms with dominated splitting on a compact manifold , that satisfy the specification property. This class i…
Invariant measures for Cherry flows
Radu Saghin, Edson Vargas
We investigate the invariant probability measures for Cherry flows, i.e. flows on the two-torus which have a saddle, a source, and no other fixed points, closed orbits or homoclini…