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arxiv: nlin/0003044 · v1 · submitted 2000-03-20 · 🌊 nlin.CD

The Markovian metamorphosis of a simple turbulent cascade model

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keywords cascademarkovianmodelturbulentaccountachievedagreementbreaking
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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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