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Exponential mixing for random flows

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TURW03 - Modelling and analysis of turbulent transport, mixing and scaling

We consider random dynamical systems driven by noise that is absolutely continuous with respect to the Lebesgue measure, and exhibit sufficient conditions that imply exponential mixing. As a corollary, we show that the so-called Pierrehumbert model, consisting of alternating shear flows with randomized phases, is exponentially mixing. 

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