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.
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Publié le :
Jan P. Boroński 1, 2 ; Piotr Oprocha 1, 2
@article{CRMATH_2018__356_3_340_0, author = {Jan P. Boro\'nski and Piotr Oprocha}, title = {On dynamics of the {Sierpi\'nski} carpet}, journal = {Comptes Rendus. Math\'ematique}, pages = {340--344}, publisher = {Elsevier}, volume = {356}, number = {3}, year = {2018}, doi = {10.1016/j.crma.2018.01.009}, language = {en}, }
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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