Spatial correlations of singularity strengths in multifractal branching processes

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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REVTeX, 18 pages, 5 PS figs, submitted to PRE

Scientific paper

10.1103/PhysRevE.58.554

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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