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arXiv · 2202.13107

Piecewise rotations: limit set for the non -bijective maps

Nicolas Bédaride·Jean françois Bertazzon·Idrissa Kaboré
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Abstract

We consider non-bijective piecewise rotations of the plane. These maps belong to a family introduced in previous papers by Boshernitzan and Goetz. We derive in this paper some upper bounds to the size of the limit set. This improves results of \cite{Bosh.Goet.03}.

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Nicolas Bédaride, Jean françois Bertazzon, Idrissa Kaboré. 2022-02-26. Piecewise rotations: limit set for the non -bijective maps. https://arxiv.org/abs/2202.13107

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