2026-04-17T07:41:54Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/1725802025-12-05T09:55:12Zcom_2072_1057col_2072_478917col_2072_478920

00925njm 22002777a 4500 dc Carroll, Tom author Massaneda Clares, Francesc Xavier author Ortega Cerdà, Joaquim author 2020-12-07T11:19:45Z 2020-12-07T11:19:45Z 2020-03-13 2020-12-07T11:19:46Z 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. Teoria de la mesura geomètrica Equacions en derivades parcials Càlcul de variacions Optimització matemàtica Anàlisi global (Matemàtica) Geometric measure theory Partial differential equations Calculus of variations Mathematical optimization Global analysis (Mathematics) An enhanced uncertainty principle for the Vaserstein distance