Jumps of entropy for Cr interval maps
David Burguet
Fundamenta Mathematicae, Tome 228 (2015), p. 299-317 / Harvested from The Polish Digital Mathematics Library
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We study the jumps of topological entropy for Cr interval or circle maps. We prove in particular that the topological entropy is continuous at any f∈Cr([0,1]) with htop(f)>(log⁺||f'||∞)/r. To this end we study the continuity of the entropy of the Buzzi-Hofbauer diagrams associated to Cr interval maps.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:283060 
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     title = {Jumps of entropy for $C^{r}$ interval maps},
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     year = {2015},
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     language = {en},
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David Burguet. Jumps of entropy for $C^{r}$ interval maps. Fundamenta Mathematicae, Tome 228 (2015) pp. 299-317. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm231-3-5/