English

Topological entropy and irregular recurrence

Dynamical Systems 2012-09-20 v1

Abstract

This paper is devoted to problems stated by Z. Zhou and F. Li in 2009. They concern relations between almost periodic, weakly almost periodic, and quasi-weakly almost periodic points of a continuous map f and its topological entropy. The negative answer follows by our recent paper. But for continuous maps of the interval and other more general one-dimensional spaces we give more results; in some cases, the answer is positive.

Keywords

Cite

@article{arxiv.1209.4202,
  title  = {Topological entropy and irregular recurrence},
  author = {Lenka Obadalova},
  journal= {arXiv preprint arXiv:1209.4202},
  year   = {2012}
}
R2 v1 2026-06-21T22:07:47.996Z