Linear response formulas are established for invariant densities and observables of perturbed SDEs on the torus, followed by existence, uniqueness, and explicit characterization of optimal drift perturbations that maximize first-order observable variation, with Fourier numerics demonstrated in low-
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.DS 2verdicts
UNVERDICTED 2representative citing papers
Develops an optimization framework for the linear response of SRB measures to perturbations of Anosov diffeomorphisms, proving uniqueness of the optimal perturbation for non-degenerate cases, giving explicit Fourier coefficients, and providing a convergent Fourier-based numerical scheme.
citing papers explorer
-
Optimal response for stochastic differential equations in $\mathbb{T}^d$ with perturbations on the drift term
Linear response formulas are established for invariant densities and observables of perturbed SDEs on the torus, followed by existence, uniqueness, and explicit characterization of optimal drift perturbations that maximize first-order observable variation, with Fourier numerics demonstrated in low-
-
Optimal linear response for Anosov diffeomorphisms
Develops an optimization framework for the linear response of SRB measures to perturbations of Anosov diffeomorphisms, proving uniqueness of the optimal perturbation for non-degenerate cases, giving explicit Fourier coefficients, and providing a convergent Fourier-based numerical scheme.