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arXiv · 1205.6707

Multifractal formalism for typical probability measures on self-similar sets

Moez Ben Abid
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Abstract

In this work, we investigate the Hölder spectrum of typical measures (in the Baire category sense) in a general compact set and we compute the multifractal spectrum of a typical measures supported by a self-similar set. Such mesures verify the multifractal formalism.

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Moez Ben Abid. 2012-06-02. Multifractal formalism for typical probability measures on self-similar sets. https://arxiv.org/abs/1205.6707

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