Multifractal formalism for almost all self-affine measures
  We conduct the multifractal analysis of self-affine measures for "almost all" family of affine maps. Besides partially extending Falconer's formula of $L^q$-spectrum outside the range $1< q\leq 2$, the multifractal formalism is also partially verified. 
Julien Barral and De-Jun Feng
math.CA