@article {2022,
	title = {Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances},
	volume = {61},
	year = {2022},
	month = {2022/05/05},
	pages = {131},
	abstract = {<p>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.</p>},
	isbn = {1432-0835},
	url = {https://doi.org/10.1007/s00526-022-02240-5},
	author = {Nicol{\`o} De Ponti and Sara Farinelli}
}
