Linear Request Problem: Rigorous Results

Related lectures (30)

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

Discusses linear response for self-consistent transfer operators, exploring rigorous results and applications in theoretical frameworks.

Covers the stochastic endowment consumption model, log-linear transformation, impulse response solution, and Matlab codes.

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

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

Explores optimal linear response for stochastic dynamical systems, addressing perturbations and mixing rate optimization.

Explores categorization of signals, linear systems, LID, convolution, and impulse response.

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

Explores control of dynamic systems, impulse response, Laplace transform, and Fourier transform for solving differential equations.