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Spatial correlations of singularity strengths in multifractal branching processes

Martin Greiner·Juergen Schmiegel·Felix Eickemeyer·Peter Lipa·Hans C. Eggers
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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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Martin Greiner, Juergen Schmiegel, Felix Eickemeyer, Peter Lipa, Hans C. Eggers. 1998-04-16. Spatial correlations of singularity strengths in multifractal branching processes. https://doi.org/10.1103/physreve.58.554

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