Asymptotic linearity and Hadamard differentiability

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In every dimension d >= 2, we give an explicit formula that expresses the values of any Schwartz function on R-d only in terms of its restrictions, and the restrictions of its Fourier transform, to all origin-centered spheres whose radius is the square roo ...

Two dynamical systems are topologically equivalent when their phase-portraits can be morphed into each other by a homeomorphic coordinate transformation on the state space. The induced equivalence classes capture qualitative properties such as stability or ...

We construct (modified) scattering operators for the Vlasov–Poisson system in three dimensions, mapping small asymptotic dynamics as t→−∞ to asymptotic dynamics as t→+∞. The main novelty is the construction of modified wave operators, but we also obtain a ...

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We consider various versions of the obstacle and thin-obstacle problems, we interpret them as variational inequalities, with non-smooth constraint, and prove that they satisfy a new constrained Lojasiewicz inequality. The difficulty lies in the fact that, ...

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Asymptotic linearity and Hadamard differentiability

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Fourier Interpolation From Spheres

Topological Linear System Identification via Moderate Deviations Theory

Scattering Map for the Vlasov–Poisson System

Voss Surfaces: A Design Space for Geodesic Gridshells

A Unifying Representer Theorem for Inverse Problems and Machine Learning

Omnidirectional Strategies for Exploring Ancient Cities and Territories

On the asymptotic behavior of the solutions to parabolic variational inequalities

On the adjustment, calibration and orientation of drone photogrammetry and laser-scanning

Better Patch Stitching for Parametric Surface Reconstruction

A synchrotron X-ray imaging strategy to map large animal brains

Geometric ergodicity for some space-time max-stable Markov chains