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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Reviews and provides numerical analysis for three classes of methods to compute transport coefficients in molecular dynamics, including error estimates and variance reduction techniques.
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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.
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Mathematical analysis and numerical methods for the computation of transport coefficients in molecular dynamics
Reviews and provides numerical analysis for three classes of methods to compute transport coefficients in molecular dynamics, including error estimates and variance reduction techniques.