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arXiv:1207.1481 [math.DS]AbstractReferencesReviewsResources

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

Andrés Navas, Michele Triestino

Published 2012-07-05, updated 2012-09-17Version 4

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.

Comments: Final version, 5 pages. To appear in Math. Z
Categories: math.DS
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