Linear Response: Self-Consistent Transfer Operators

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Covers linear response, steady states, Girsanov transforms, and covariance limits in reversible diffusions.

Delves into the linear request problem, infinitesimal perturbations, transport plans, and the main theorem from 2018.

Explores the composition of applications in mathematics and the importance of understanding their properties.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Explores linear response in high-dimensional systems, covering theory, practice, and implications of non-hyperbolicity and inhomogeneous subsystems.

Explores analog filters, linear phase filters, rational transfer functions, and filter design compromises.

Covers the Markov Chain Monte Carlo method and the Metropolis-Hastings algorithm for generating samples from a target probability distribution.

Explores the Fluctuation Dissipation Theorem, covering topics like the Langevin equation and force correlations in high-temperature equilibrium.

Covers the modeling of dynamic systems, including definitions, examples, and linearization processes for easier analysis.