A multifractal analysis for Stern-Brocot intervals, continued fractions   and Diophantine growth rates
  In this paper we obtain multifractal generalizations of classical results by L\'evy and Khintchin in metrical Diophantine approximations and measure theory of continued fractions. We give a complete multifractal analysis for Stern--Brocot intervals, for continued fractions and for certain Diophantine growth rates. In particular, we give detailed discussions of two multifractal spectra closely related to the Farey map and the Gauss map. 
Marc Kesseb\"ohmer and Bernd O. Stratmann