Geodesic
Decay of geometry for unimodal maps: An elementary proof
Weixiao Shen1
1 Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, China
Annals of mathematics, Tome 163 (2006) no. 2, pp. 383-404.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove that a nonrenormalizable smooth unimodal interval map with critical order between $1$ and $2$ displays decay of geometry, by an elementary and purely “real” argument. This completes a “real” approach to Milnor’s attractor problem for smooth unimodal maps with critical order not greater than $2$.
DOI : 10.4007/annals.2006.163.383

Weixiao Shen 1

1 Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, China 
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Weixiao Shen. Decay of geometry for unimodal maps: An elementary proof. Annals of mathematics, Tome 163 (2006) no. 2, pp. 383-404. doi : 10.4007/annals.2006.163.383. http://geodesic.mathdoc.fr/articles/10.4007/annals.2006.163.383/

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