Geodesic
Jumps of entropy for $C^r$ interval maps
David Burguet1
1 LPMA – CNRS UMR 7599 Université Paris 6 75252 Paris Cedex 05, France
Fundamenta Mathematicae, Tome 231 (2015) no. 3, pp. 299-317.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $f\in C^r([0,1])$ with $h_{\rm top}(f)>\frac{\log^+\|f'\|_\infty}{r}$. To this end we study the continuity of the entropy of the Buzzi–Hofbauer diagrams associated to $C^r$ interval maps.
DOI : 10.4064/fm231-3-5
Keywords: study jumps topological entropy interval circle maps prove particular topological entropy continuous top frac log infty end study continuity entropy buzzi hofbauer diagrams associated interval maps

David Burguet 1

1 LPMA – CNRS UMR 7599 Université Paris 6 75252 Paris Cedex 05, France 
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David Burguet. Jumps of entropy for $C^r$ interval maps. Fundamenta Mathematicae, Tome 231 (2015) no. 3, pp. 299-317. doi : 10.4064/fm231-3-5. http://geodesic.mathdoc.fr/articles/10.4064/fm231-3-5/

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