Mathematical Physics and Harmonic Analysis Seminar

Date: March 3, 2017

Time: 1:50PM - 2:50PM

Location: BLOC 628

Speaker: Jeffrey Galkowski, McGill University

Title: Scarring and L^\infty norms of Eigenfunctions

Abstract: We study the relationship between L^\infty growth of eigenfunctions and their L^2 concentration as measured by defect measures. In particular, we show that scarring in the sense of concentration of defect measure on certain submanifolds is incompatible with maximal L^\infty growth. In addition, we show that a defect measure which is too diffuse, such as the Liouville measure, is incompatible with maximal eigenfunction growth.