Évènement

Xavier Massaneda
Universitat de Barcelona
https://scholar.google.com/citations?user=vjP9vnUAAAAJ&hl=en

Date(s) : 15/02/2021   iCal
10h00 - 11h00

Recent results of Sagiv and Steinerberger, improved by Cavalletti and Farinelli, quantify the following uncertainty principle: for a continuous function f with mean zero, either the size of its zero set or the cost of transporting the mass of the positive part of f to its negative part must be big. We will discuss these results and 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 implies a lower bound of the size of the nodal set of the eigenfunction.

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Catégories

• Séminaire