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On dynamics of the Sierpiński carpet

2015/11/10 by Jan P. Boroński, Piotr Oprocha, Boroński, Jan P. +1
Mathematics · Physics and Astronomy · #37B45 #54F15 #54H50 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1511.03081

openalex publication_date 2015/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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