Geodesic
Metric attractors for smooth unimodal maps
Jacek Graczyk1 ; Duncan Sands1 ; Grzegorz Świątek2
1 Département de Mathématiques, University of Paris XI, 91405 Orsay, France
2 Mathematics Department, Pennsylvania State University, University Park, State College, PA 16802, United States
Annals of mathematics, Tome 159 (2004) no. 2, pp. 725-740.

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

We classify the measure theoretic attractors of general $C^3$ unimodal maps with quadratic critical points. The main ingredient is the decay of geometry.
DOI : 10.4007/annals.2004.159.725

Jacek Graczyk 1 ; Duncan Sands 1 ; Grzegorz Świątek 2

1 Département de Mathématiques, University of Paris XI, 91405 Orsay, France
2 Mathematics Department, Pennsylvania State University, University Park, State College, PA 16802, United States 
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Jacek Graczyk; Duncan Sands; Grzegorz Świątek. Metric attractors for smooth unimodal maps. Annals of mathematics, Tome 159 (2004) no. 2, pp. 725-740. doi : 10.4007/annals.2004.159.725. http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.159.725/

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