Topological entropy on rotation sequences

Abstract

Let f:(0,1) to (0,1) be a continuous unimodal map: for u epsilon (0,1),f is strictly increasing on (0,u),f(0)>0,f(u)=1, and strictly decreasing on (u,1), f(1)=0. The author assumes that f is such that u is a periodic point, with period N>or=2. The relative positions of the iterates of u are transcribed by some distinct integer sequence R/sub N/=(i/sub k/). 1