All minimal Cantor systems are slow

2019/02/27 by Jan P. Boroński, Boroński, J. P., Jiří Kupka +3
Mathematics · Physics and Astronomy · #37B05 #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.1902.10641

openalex publication_date 2019/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that every (invertible, or noninvertible) minimal Cantor system embeds in ℝ with vanishing derivative everywhere. We also study relations between local shrinking and periodic points.

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