Multifractal analysis of the Brjuno function
Abstract
We determine the 1-exponent (according to the Calder\'on-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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.