[Sur la dynamique du tapis de Sierpiński]
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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@article{CRMATH_2018__356_3_340_0,
author = {Boro\'nski, Jan P. and Oprocha, Piotr},
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},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2018.01.009/}
}
TY - JOUR AU - Boroński, Jan P. AU - Oprocha, Piotr TI - On dynamics of the Sierpiński carpet JO - Comptes Rendus. Mathématique PY - 2018 SP - 340 EP - 344 VL - 356 IS - 3 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2018.01.009/ DO - 10.1016/j.crma.2018.01.009 LA - en ID - CRMATH_2018__356_3_340_0 ER -
%0 Journal Article %A Boroński, Jan P. %A Oprocha, Piotr %T On dynamics of the Sierpiński carpet %J Comptes Rendus. Mathématique %D 2018 %P 340-344 %V 356 %N 3 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2018.01.009/ %R 10.1016/j.crma.2018.01.009 %G en %F CRMATH_2018__356_3_340_0
Boroński, Jan P.; Oprocha, Piotr. On dynamics of the Sierpiński carpet. Comptes Rendus. Mathématique, Tome 356 (2018) no. 3, pp. 340-344. doi : 10.1016/j.crma.2018.01.009. http://archive.numdam.org/articles/10.1016/j.crma.2018.01.009/
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