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We prove that if $n\geq 2$ , then there is no $C^{1}$ -diffeomorphism $f$ of the $n$ -torus such that $f$ is semi-conjugate to a minimal translation and its wandering… Click to show full abstract
We prove that if $n\geq 2$ , then there is no $C^{1}$ -diffeomorphism $f$ of the $n$ -torus such that $f$ is semi-conjugate to a minimal translation and its wandering domains are geometric balls. This improves a recent result of Navas, who proved it assuming $C^{n+1}$ regularity of $f$ .
Keywords:
domains diffeomorphisms;
diffeomorphisms tori;
wandering domains;
round wandering
Journal Title: Ergodic Theory and Dynamical Systems
Year Published: 2019
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Journal Title: Ergodic Theory and Dynamical Systems
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!