An enhanced uncertainty principle for the Vaserstein distance

DOI10.1112/blms.12390zbMath1460.28003arXiv2003.03165OpenAlexW3010566999MaRDI QIDQ5855929

Tom Carroll, Joaquim Ortega-Cerdà, Xavier Massaneda

Publication date: 22 March 2021

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.03165

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Spectral theory; eigenvalue problems on manifolds (58C40) Optimal transportation (49Q22)

Related Items (5)

Sequences of well-distributed vertices on graphs and spectral bounds on optimal transport ⋮ Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances ⋮ Minimizing optimal transport for functions with fixed-size nodal sets ⋮ Indeterminacy estimates and the size of nodal sets in singular spaces ⋮ The uncertainty principle: Variations on a theme

Cites Work

• Unnamed Item
• Equidistribution estimates for Fekete points on complex manifolds
• The Levy-Gromov isoperimetric inequality in convex manifolds with boundary
• On the convergence of Riesz means on compact manifolds
• Nodal sets of Laplace eigenfunctions: proof of Nadirashvili's conjecture and of the lower bound in Yau's conjecture
• A metric Sturm-Liouville theory in two dimensions
• Transport and Interface: An Uncertainty Principle for the Wasserstein Distance
• Isoperimetric inequalities in Euclidean convex bodies
• Isoperimetric Inequalities for Convex Cones

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