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Minimal sets for torus homeomorphisms with an irrational circle factor

Liu, Xiao-Chuan
arXiv (All) · Papers
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dynamical-systemsprobability
We study minimal sets of torus homeomorphisms admitting an irrational circle factor whose fibres are thin essential annular continua. For totally irrational pseudo-rotations and homeomorphisms in a nontrivial Dehn-twist class, we prove uniqueness of the minimal set when the fibres are Jordan curves
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