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Explore the mathematical framework of nonautonomous and random dynamical systems in this 37-minute conference talk that examines how time-dependent forcing affects climate system variability. Learn how both anthropogenic and natural forcing mechanisms change not only climate means (global warming) but also higher statistical moments of climatic fields (global weirding). Discover applications through examples from atmospheric, oceanic, and coupled climate models, while examining the role of AI emulators in numerical studies of these complex phenomena. Gain insights into the proper mathematical tools needed to understand climate system responses to external forcing, with discussion of both deterministic chaotic systems and stochastic processes. The presentation draws from recent advances in nonlinear geoscience and climate physics, providing a rigorous mathematical perspective on climate variability and change that goes beyond simple temperature trends to encompass the full spectrum of climate system behavior.
