Multifractal analysis of superprocesses with stable branching in   dimension one
  We show that density functions of a $(\alpha,1,\beta)$-superprocesses are almost sure multifractal for $\alpha>\beta+1$, $\beta\in(0,1)$ and calculate the corresponding spectrum of singularities. 
Leonid Mytnik, Vitali Wachtel
math.PR