Spatial correlations of singularity strengths in multifractal branching   processes
  The n-point statistics of singularity strength variables for multiplicative branching processes is calculated from an analytic expression of the corresponding multivariate generating function. The key ingredient is a branching generating function which can be understood as a natural generalisation of the multifractal mass exponents. Various random multiplicative cascade processes pertaining to fully developed turbulence are discussed. 
Martin Greiner, Juergen Schmiegel, Felix Eickemeyer, Peter Lipa and   Hans C. Eggers