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arXiv · 1910.07239

On the Hausdorff dimension of invariant measures for multicritical circle maps

Frank Trujillo
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Abstract

We give explicit bounds for the Hausdorff dimension of the unique invariant measure of $C^3$ multicritical circle maps without periodic points. These bounds depend only on the arithmetic properties of the rotation number.

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Frank Trujillo. 2019-10-16. On the Hausdorff dimension of invariant measures for multicritical circle maps. https://doi.org/10.1007/s00023-020-00940-2

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