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math.CA2022
An inequality characterizing convex domains
Stefan Steinerberger
A property of smooth convex domains is that if two points on the boundary are close to each other, then their normal vectors $n(x), n(…
math.CA2019
Transport and Interface: an Uncertainty Principle for the Wasserstein distance
Amir Sagiv, Stefan Steinerberger
Let be a continuous function with zero mean and interpret and as the densities of two measures. We pr…
math.CA2014
An uncertainty principle on compact manifolds
Stefan Steinerberger
Breitenberger's uncertainty principle on the torus and its higher-dimensional analogue on are well understood. We give describe an entire family of…
math.CA2014
Convolution Estimates for Singular Measures and Some Global Nonlinear Brascamp-Lieb Inequalities
Herbert Koch, Stefan Steinerberger
We give a convolution estimate for singular measures supported on transversal hypersurfaces in , which improves earlier results of Bej…