For SDEs on R^d, the paper proves existence and uniqueness of the optimal infinitesimal local kernel perturbation maximizing the linear response of an observable, and demonstrates a numerical approximation on a double-well example.
Stability of t he spectrum for transfer operators
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Optimal response for stochastic differential equations by local kernel perturbations
For SDEs on R^d, the paper proves existence and uniqueness of the optimal infinitesimal local kernel perturbation maximizing the linear response of an observable, and demonstrates a numerical approximation on a double-well example.