Browsing by Author "Pardoux, Etienne"

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    Invariant measure selection by noise. An example
    (Discrete and Continuous Dynamical Systems- Series A, 2014-01-01) Mattingly, Jonathan C; Pardoux, Etienne
    We consider a deterministic system with two conserved quantities and infinity many invariant measures. However the systems possess a unique invariant measure when enough stochastic forcing and balancing dissipation are added. We then show that as the forcing and dissipation are removed a unique limit of the deterministic system is selected. The exact structure of the limiting measure depends on the specifics of the stochastic forcing.