3 papers
math.DS2026
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…
math.DS2024
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…
math.DS2024
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…