Multifractal analysis of the Brjuno function
arXiv:1512.08932
Abstract
We determine the -exponent (according to the Calderón-Zygmund definition) of the Brjuno function everywhere, thus showing that it is a new example of multifractal function. We also discuss various notions of pointwise regularity of the function .
to appear in Invent. Math., this arXiv version contains a few more details than the one to be published