Semiconjugacy to a map of a constant slope

Jozef Bobok. "Semiconjugacy to a map of a constant slope." Studia Mathematica 208.3 (2012): 213-228. <http://eudml.org/doc/285473>.

@article{JozefBobok2012,
abstract = {It is well known that any continuous piecewise monotone interval map f with positive topological entropy $h_\{top\}(f)$ is semiconjugate to some piecewise affine map with constant slope $e^\{h_\{top\}(f)\}$. We prove this result for a class of Markov countably piecewise monotone continuous interval maps.},
author = {Jozef Bobok},
journal = {Studia Mathematica},
keywords = {interval map; topological entropy; countably piecewise monotone},
language = {eng},
number = {3},
pages = {213-228},
title = {Semiconjugacy to a map of a constant slope},
url = {http://eudml.org/doc/285473},
volume = {208},
year = {2012},
}

TY - JOUR
AU - Jozef Bobok
TI - Semiconjugacy to a map of a constant slope
JO - Studia Mathematica
PY - 2012
VL - 208
IS - 3
SP - 213
EP - 228
AB - It is well known that any continuous piecewise monotone interval map f with positive topological entropy $h_{top}(f)$ is semiconjugate to some piecewise affine map with constant slope $e^{h_{top}(f)}$. We prove this result for a class of Markov countably piecewise monotone continuous interval maps.
LA - eng
KW - interval map; topological entropy; countably piecewise monotone
UR - http://eudml.org/doc/285473
ER -