Skew products over rotations with exotic properties

2011/05/18 by Jon Chaika, Chaika, Jon
Mathematics · #37A40 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #math.DS #msc:37A40

paper · pdf · doi:10.48550/arxiv.1105.3632

arxiv created 2011/05/18 · openalex publication_date 2011/05/18 · arxiv updated 2011/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct some skew products over rotations with strange properties. We construct a non-uniquely ergodic Z₂ skew product over a bounded quotient rotation. We describe some of its properties and related Z skew products.

Citations

• Shrinking targets for IETs: Extending a theorem of Kurzweil
• Heaviness in Symbolic Dynamics: Substitution and Sturmian Systems

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