| Title | Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Authors | De Ponti, N, Farinelli, S |
| Volume | 61 |
| Issue | 4 |
| Pagination | 131 |
| Date Published | 2022/05/05 |
| ISBN Number | 1432-0835 |
| Abstract | In the paper we prove two inequalities in the setting of $$\mathsf {RCD}(K,\infty )$$spaces using similar techniques. The first one is an indeterminacy estimate involving the p-Wasserstein distance between the positive part and the negative part of an $$L^{\infty }$$function and the measure of the interface between the positive part and the negative part. The second one is a conjectured lower bound on the p-Wasserstein distance between the positive and negative parts of a Laplace eigenfunction. |
| URL | https://doi.org/10.1007/s00526-022-02240-5 |
| Short Title | Calculus of Variations and Partial Differential Equations |
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