Spatial correlations of singularity strengths in multifractal branching processes
Martin Greiner, Juergen Schmiegel, Felix Eickemeyer, Peter Lipa, Hans C. Eggers
Abstract
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.
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