3 papers
math.DS2022
The growth of the number of periodic orbits for annulus homeomorphisms and non-contractible closed geodesics on Riemannian or Finsler
Hui Liu, Jian Wang, Jingzhi Yan
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 tw…
math.DS2022
Refinements of Franks' theorem and applications in Reeb dynamics
Hui Liu, Jian Wang, Jingzhi Yan
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 -periodic orbits…
math.DS2015
A refinement of a theorem by Franks
Hui Liu, Jian Wang
In this paper, we give a refinement of a theorem by Franks, which answers two questions raised by Kang.