Transport and Interface: An Uncertainty Principle for the Wasserstein Distance

DOI10.1137/19M1296574zbMath1442.28005arXiv1905.07450OpenAlexW3040504095MaRDI QIDQ3296897

Stefan Steinerberger, Amir Sagiv

Publication date: 2 July 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.07450

zbMATH Keywords

uncertainty principlenodal setSturm-Liouville theoryWasserstein

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Length, area, volume, other geometric measure theory (28A75)

Related Items

Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances ⋮ Minimizing optimal transport for functions with fixed-size nodal sets ⋮ A metric Sturm-Liouville theory in two dimensions ⋮ Indeterminacy estimates and the size of nodal sets in singular spaces ⋮ An enhanced uncertainty principle for the Vaserstein distance

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