Calculus of Variations and Geometric Measure Theory
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N. De Ponti - S. Farinelli

Eigenfunctions and a lower bound on the Wasserstein distance

created by farinelli on 28 Apr 2021

[BibTeX]

preprint

Inserted: 28 apr 2021

Year: 2021

ArXiv: 2104.12097 PDF

Abstract:

We prove a conjectured lower bound on the $p$-Wasserstein distance between the positive and negative parts of a Laplace eigenfunction. Our result holds for general $\mathsf{RCD}(K,\infty)$ spaces.

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