Geodesic
Period doubling, entropy, and renormalization
Fundamenta Mathematicae, Tome 155 (1998) no. 3, pp. 237-249.

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

We show that in any family of stunted sawtooth maps, the set of maps whose set of periods is the set of all powers of 2 has no interior point. Similar techniques then allow us to show that, under mild assumptions, smooth multimodal maps whose set of periods is the set of all powers of 2 are infinitely renormalizable with the diameters of all periodic intervals going to zero as the period goes to infinity.
DOI : 10.4064/fm-155-3-237-249

Jun Hu 1 ; Charles Tresser 1

1 
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Jun Hu; Charles Tresser. Period doubling, entropy, and renormalization. Fundamenta Mathematicae, Tome 155 (1998) no. 3, pp. 237-249. doi : 10.4064/fm-155-3-237-249. http://geodesic.mathdoc.fr/articles/10.4064/fm-155-3-237-249/

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