Linear Response: Self-Consistent Transfer Operators

This lecture by the instructor explores the concept of linear response for a family of self-consistent transfer operators, discussing rigorous results and applications. The presentation covers topics such as the finite model, thermodynamic limits, invariant densities, and the proof of linear response formulas. The lecture delves into the theoretical framework, including the existence of invariant densities, contraction properties, and the linear response formula. Various theorems and propositions are presented to support the analysis, culminating in a detailed examination of the linear response in the context of self-consistent transfer operators.