# name
An enhanced uncertainty principle for the Vaserstein distance

# metadata.dc.description.abstract[].value
Abstract. We improve some recent results of Sagiv and Steinerberger that quantify the following uncertainty principle: for a function $f$ with mean zero, either the size of the zero set of the function or the cost of transporting the mass of the positive part of $f$ to its negative part must be big. We also provide a sharp upper estimate of the transport cost of the positive part of an eigenfunction of the Laplacian. This proves a conjecture of Steinerberger and provides a lower bound of the size of the nodal set of the eigenfunction.

# metadata.dc.relation.ispartof[].value
Bulletin of the London Mathematical Society, 2020, vol. 52, num. 6, p. 1158-1173

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
An enhanced uncertainty principle for the Vaserstein distance