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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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  • Optimal linear response for Anosov diffeomorphisms math.DS · 2025-04-23 · unverdicted · none · ref 11

    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.