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Explore operator-theoretic methods for understanding earth systems through this 54-minute conference talk that examines the transfer operator as the natural evolution operator for functions in dynamical systems. Discover how the operator's spectrum and eigenfunctions reveal crucial dynamic information about atmospheric and oceanic processes. Learn about time-inflation of the transfer operator through the inflated generator and see how its eigenfunctions expose the emergence and dissipation of atmospheric blocks. Understand the concepts of linear response and optimal linear response for identifying system sensitivities, illustrated through sea-surface temperature perturbations optimized to maximally influence ENSO cycle strength and frequency. Gain insights into a novel machine learning approach for developing function bases that enable compact and accurate representation of transfer operators in earth system applications.
