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arXiv · 1207.1481

On the invariant distributions of C^2 circle diffeomorphisms of irrational rotation number

Andrés Navas·Michele Triestino
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Abstract

We show that no C^2 circle diffeomorphism of irrational rotation number has invariant 1-distributions other than (scalar multiples of) the invariant measure. We also show that this is false in the C^1 context by giving both minimal and non-minimal examples.

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Andrés Navas, Michele Triestino. 2012-09-17. On the invariant distributions of C^2 circle diffeomorphisms of irrational rotation number. https://arxiv.org/abs/1207.1481

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