Comptes Rendus
no. 2
Dynamical systems
Periodic points in the intersection of attracting immediate basins boundaries
[Points périodiques à l'intersection entre les frontières de bassins immédiats attractifs]

Présenté par : the Editorial Board

Bastien Rossetti1
1 Laboratoire Émile-Picard, Université Paul-Sabatier, 31062 Toulouse, France
Comptes Rendus. Mathématique, Volume 355 (2017) no. 2, pp. 222-225.

Nous donnons des conditions suffisantes pour que l'intersection entre les frontières de deux bassins immédiats attractifs d'une fraction rationnelle contienne au moins un point périodique.

We give conditions under which the intersection between two attracting immediate basins boundaries of a rational map contains at least one periodic point.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.09.004
Bastien Rossetti 1

1 Laboratoire Émile-Picard, Université Paul-Sabatier, 31062 Toulouse, France 
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Bastien Rossetti. Periodic points in the intersection of attracting immediate basins boundaries. Comptes Rendus. Mathématique, Volume 355 (2017) no. 2, pp. 222-225. doi : 10.1016/j.crma.2016.09.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.09.004/

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[3] C.L. Petersen Local connectivity of some Julia sets containing a circle with an irrational rotation, Acta Math., Volume 177 (1996), pp. 163-224

[4] K.M. Pilgrim Cylinders for iterated rational maps, University of California at Berkeley, CA, USA, 1994 (PhD thesis)

[5] F. Przytycki; M. Urbański Conformal Fractals: Ergodic Theory Methods, The London Mathematical Society Lecture Note Series, vol. 371, 2010

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