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.
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2 Pith papers cite this work. Polarity classification is still indexing.
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2025 2verdicts
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Derives and proves a path-kernel formula for linear response in SDEs via path bundle comparison and provides a pathwise Monte Carlo algorithm tested on 40D noisy Lorenz-96.
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Path-Kernel Method for Differentiating Unstable Diffusions
Derives and proves a path-kernel formula for linear response in SDEs via path bundle comparison and provides a pathwise Monte Carlo algorithm tested on 40D noisy Lorenz-96.