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arXiv · 1101.4463

A generic dimensional property of the invariant measures for circle diffeomorphisms

Shigenori Matsumoto
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Abstract

Given any Liouville number $\alpha$, it is shown that the nullity of the Hausdorff dimension of the invariant measure is generic in the space of the orientation preserving $C^\infty$ diffeomorphisms of the circle with rotation number $\alpha$.

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Shigenori Matsumoto. 2011-01-24. A generic dimensional property of the invariant measures for circle diffeomorphisms. https://arxiv.org/abs/1101.4463

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