Spatial correlations of singularity strengths in multifractal branching processes

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.

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

References in corpus (2)

• The multifractal nature of turbulent energy dissipation
• Probing Hierarchical Clustering by Scale-Scale Correlations of Wavelet Coefficients

Cited by in corpus (6)

• Multiplier phenomenology in random multiplicative cascade processes
• On the possible space-time fractality of the emitting source
• The Markovian metamorphosis of a simple turbulent cascade model
• Translationally invariant cumulants in energy cascade models of turbulence
• Density correlators in a self-similar cascade
• Artificiality of multifractal phase transitions