Comptes Rendus
no. 3
Topology/Dynamical systems
On dynamics of the Sierpiński carpet
[Sur la dynamique du tapis de Sierpiński]

Présenté par : the Editorial Board

Jan P. Boroński1, 2 ; Piotr Oprocha1, 2
1 National Supercomputing Center IT4Innovations, Division of the University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, 30. dubna 22, 70103 Ostrava, Czech Republic
2 Faculty of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland
Comptes Rendus. Mathématique, Volume 356 (2018) no. 3, pp. 340-344.

Nous montrons que la courbe de Sierpiński admet un homéomorphisme ayant des propriétés de mélange fortes. Nous montrons également que l'application construite n'a pas la propriété de spécification de Bowen.

We prove that the Sierpiński curve admits a homeomorphism with strong mixing properties. We also prove that the constructed example does not have Bowen's specification property.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2018.01.009
Jan P. Boroński 1, 2 ; Piotr Oprocha 1, 2

1 National Supercomputing Center IT4Innovations, Division of the University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, 30. dubna 22, 70103 Ostrava, Czech Republic
2 Faculty of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland 
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Jan P. Boroński; Piotr Oprocha. On dynamics of the Sierpiński carpet. Comptes Rendus. Mathématique, Volume 356 (2018) no. 3, pp. 340-344. doi : 10.1016/j.crma.2018.01.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.01.009/

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