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The Markovian metamorphosis of a simple turbulent cascade model

Jochen Cleve, Martin Greiner

nlin.CDarXiv:nlin/0003044

Abstract

Markovian properties of a discrete random multiplicative cascade model of log-normal type are discussed. After taking small-scale resummation and breaking of the ultrametric hierarchy into account, qualitative agreement with Kramers-Moyal coefficients, recently deduced from a fully developed turbulent flow, is achieved.

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