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arxiv: 1511.03081 · v2 · pith:ZRPPOE2Nnew · submitted 2015-11-10 · 🧮 math.DS

On dynamics of the Sierpi\'nski carpet

classification 🧮 math.DS
keywords nskiprovesierpiadmitsbowencarpetconstructedcurve
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We prove that the Sierpi\'nski 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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