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arXiv · 1508.07022

A dynamical decomposition of the torus into pseudo-circles

François Béguin·Sylvain Crovisier·Tobias Jäger
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Abstract

We build an irrational pseudo-rotation of the 2-torus which is semiconjugate to an irrational rotation of the circle in such a way that all the fibres of the semi-conjugacy are pseudo-circles. The proof uses the well-known `fast-approximation method' introduced by Anosov and Katok.

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François Béguin, Sylvain Crovisier, Tobias Jäger. 2015-08-27. A dynamical decomposition of the torus into pseudo-circles. https://arxiv.org/abs/1508.07022

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