Appears in collection : Nonlinear and stochastic methods in climate and geophysical fluid dynamics

I will survey recent transfer operator theory and methods for analysing geophysical fluid flows.  These include a selection from: tracking coherent features from the meso-scale to the global scale using models and observations, computing optimal stochastic and deterministic perturbations to enhance fluid mixing, rigorous computation of statistical limit laws, and theory for quenched random limit laws.