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arXiv · 1512.08932

Multifractal analysis of the Brjuno function

Stéphane Jaffard·Bruno Martin
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Abstract

We determine the $1$-exponent (according to the Calderón-Zygmund definition) of the Brjuno function $B$ everywhere, thus showing that it is a new example of multifractal function. We also discuss various notions of pointwise regularity of the function $B$.

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Stéphane Jaffard, Bruno Martin. 2017-11-14. Multifractal analysis of the Brjuno function. https://arxiv.org/abs/1512.08932

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