Onesided multifractal analysis and points of nondifferentiability of devil's staircases
Abstract
We examine the multifractal spectra of onesided local dimensions of Ahlfors regular measures on R. This brings into a natural context a curious property that has been observed in a number of instances, namely that the Hausdorff dimension of the set of points of nondifferentiability of a selfaffine ‘devil's staircase’ function is the square of the dimension of the set of points of increase.
 Publication:

Mathematical Proceedings of the Cambridge Philosophical Society
 Pub Date:
 January 2004
 DOI:
 10.1017/S0305004103006960
 Bibcode:
 2004MPCPS.136..167F