Translationally invariant cumulants in energy cascade models of turbulence
arXiv:nlin/0005044 · doi:10.1016/S0375-9601(01)00113-X
Abstract
In the context of random multiplicative energy cascade processes, we derive analytical expressions for translationally invariant one- and two-point cumulants in logarithmic field amplitudes. Such cumulants make it possible to distinguish between hitherto equally successful cascade generator models and hence supplement lowest-order multifractal scaling exponents and multiplier distributions.
11 pages, 3 figs, elsart.cls included
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