Semiconjugacy to a map of a constant slope
Jozef Bobok
Studia Mathematica, Tome 209 (2012), p. 213-228 / Harvested from The Polish Digital Mathematics Library
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It is well known that any continuous piecewise monotone interval map f with positive topological entropy htop(f) is semiconjugate to some piecewise affine map with constant slope ehtop(f). We prove this result for a class of Markov countably piecewise monotone continuous interval maps.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:285473 
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Jozef Bobok. Semiconjugacy to a map of a constant slope. Studia Mathematica, Tome 209 (2012) pp. 213-228. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm208-3-2/