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

Andrés Navas

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arXiv · 1702.02251

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

Andrés Navas

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Abstract

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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Andrés Navas. 2017-02-08. Wandering domains for diffeomorphisms of the k-torus: a remark on a theorem by Norton and Sullivan. https://arxiv.org/abs/1702.02251

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