The Markovian metamorphosis of a simple turbulent cascade model

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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6 pages, 2 figures

Scientific paper

10.1016/S0375-9601(00)00485-0

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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