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arxiv: 1702.02251 · v1 · pith:JLBDUJDOnew · submitted 2017-02-08 · 🧮 math.DS

Wandering domains for diffeomorphisms of the k-torus: a remark on a theorem by Norton and Sullivan

classification 🧮 math.DS
keywords k-toruswanderingballsdiffeomorphismdiffeomorphismsdomaindomainseuclidean
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We show that there is no C^{k+1} diffeomorphism of the k-torus which is semiconjugate to a minimal translation and has a wandering domain all of whose iterates are Euclidean balls.

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