Spatial correlations of singularity strengths in multifractal branching processes
chao-dyn
2009-10-31 v1 Chaotic Dynamics
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.
Keywords
Cite
@article{arxiv.chao-dyn/9804028,
title = {Spatial correlations of singularity strengths in multifractal branching processes},
author = {Martin Greiner and Juergen Schmiegel and Felix Eickemeyer and Peter Lipa and Hans C. Eggers},
journal= {arXiv preprint arXiv:chao-dyn/9804028},
year = {2009}
}
Comments
REVTeX, 18 pages, 5 PS figs, submitted to PRE