Linear Response in High-Dimensional Systems

This lecture by Caroline Wormell, from the University of Sydney, on linear response in high-dimensional systems covers the theory and practice of linear response, including its application in various systems. The lecture delves into the failure of linear response in non-hyperbolic cases, the impact of noise on response, and the criteria for linear response in complex systems. Numerical examples and theoretical discussions explore the dynamics of globally coupled maps, the thermodynamic limit, and the implications of inhomogeneous subsystems on linear response. The lecture concludes by highlighting the emergence of stochastic effects at finite sizes and the complexities of linear response in the thermodynamic limit.