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arXiv · 1302.2433

On measures resisting multifractal analysis

Jörg Schmeling·Stéphane Seuret
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Abstract

Any ergodic measure of a smooth map on a compact manifold has a multifractal spectrum with one point - the dimension of the measure itself - at the diagonal. We will construct examples where this fails in the most drastic way for invariant measures invariant under linear maps of the circle.

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Jörg Schmeling, Stéphane Seuret. 2013-02-11. On measures resisting multifractal analysis. https://arxiv.org/abs/1302.2433

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