Semiconjugacy to a map of a constant slope
Volume 208 / 2012
Studia Mathematica 208 (2012), 213-228
MSC: Primary 37E99; Secondary 37B99.
DOI: 10.4064/sm208-3-2
Abstract
It is well known that any continuous piecewise monotone interval map $f$ with positive topological entropy $h_{\rm top}(f)$ is semiconjugate to some piecewise affine map with constant slope $e^{h_{\rm top}(f)}$. We prove this result for a class of Markov countably piecewise monotone continuous interval maps.
