Climate Change Prediction: Linear Response Operators

This lecture explores predicting climate change through linear response operators, focusing on the nonequilibrium nature of the climate system, variability, and the interplay between climate response and variability. It delves into anthropogenic climate change, climate surprises, and tipping points, discussing the physics of climate variability and climate change. The lecture covers the hierarchy of models in climate sciences, advances in dynamical systems theory, and nonequilibrium statistical physics. It also addresses equilibrium climate sensitivity, transient climate response, and the challenges of climate predictability. The instructor discusses the construction of time-dependent measures using Ruelle Response Theory and the convergence of response formulas, emphasizing the importance of understanding climate response in different scenarios.