Jumps of entropy for $C^{r}$ interval maps

• Autorzy: David Burguet
• Języki publikacji: EN

Abstrakty

EN

We study the jumps of topological entropy for $C^{r}$ interval or circle maps. We prove in particular that the topological entropy is continuous at any $f ∈ C^{r}([0,1])$ with $h_{top}(f) > (log⁺||f'||_{∞})/r$. To this end we study the continuity of the entropy of the Buzzi-Hofbauer diagrams associated to $C^{r}$ interval maps.

Kategorie tematyczne

• 37B40: Topological entropy
• 37C05: Smooth mappings and diffeomorphisms
• 37B10: Symbolic dynamics
• 37A35: Entropy and other invariants, isomorphism, classification

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2015
• Tom: 231
• Numer: 3
• Strony: 299-317

Daty

wydano

2015

Twórcy

autor

David Burguet

• LPMA - CNRS UMR 7599, Université Paris 6, 75252 Paris Cedex 05, France

Identyfikatory

DOI

10.4064/fm231-3-5