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· 2025 · arXiv 2501.02395

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math.DS 1 math.PR 1

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2025 2

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UNVERDICTED 2

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Optimal linear response for Anosov diffeomorphisms

math.DS · 2025-04-23 · unverdicted · novelty 7.0

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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Showing 2 of 2 citing papers.

  • Optimal linear response for Anosov diffeomorphisms math.DS · 2025-04-23 · unverdicted · none · ref 9

    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.

  • Path-Kernel Method for Differentiating Unstable Diffusions math.PR · 2025-03-02 · unverdicted · none · ref 11

    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.