Statistical convergent topological sequence entropy maps of the circle
Abstract
A continuous map f of the interval is chaotic iff there is an increasing of nonnegative integers T such that the topological sequence entropy off relative to T, hT(f), is positive. On the other hand, for any increasing sequence of nonnegative integers T there is a chaotic map f of the interval such that hT(f)=0. We prove that the same results hold for maps of the circle. We also prove some preliminary results concerning statistical convergent topological sequence entropy for maps of general compact metric spaces.
Source
EntropyVolume
6Issue
2Collections
- Makale Koleksiyonu [5745]