Semiconjugacy to a map of a constant slope

• Autorzy: Jozef Bobok
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37E99: None of the above, but in this section
• 37B99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 208
• Numer: 3
• Strony: 213-228

Daty

wydano

2012

Twórcy

autor

Jozef Bobok

• Department of Mathematics, FCE of Czech Technical University in Prague, Thákurova 7, 166 29 Praha 6, Czech Republic

Identyfikatory

DOI

10.4064/sm208-3-2