A dynamical decomposition of the torus into pseudo-circles

2015/08/27 by François Béguin, Sylvain Crovisier, Béguin, François +3
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #General Topology (math.GN) #math.DS #math.GN

paper · pdf · doi:10.48550/arxiv.1508.07022

arxiv created 2015/08/27 · arxiv updated 2015/08/31

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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