Mathematical Physics and Harmonic Analysis Seminar
Date: February 9, 2018
Time: 2:50PM - 3:50PM
Location: Blocker 605AX
Speaker: Yaiza Canzani, UNC Chapel Hill
Title: On the growth of eigenfunctions averages
Abstract: In this talk we discuss the behavior of Laplace eigenfunctions when restricted to a fixed submanifold by studying the averages given by the integral of the eigenfunctions over the submanifold. In particular, we show that the averages decay to zero when working on a surface with Anosov geodesic flow regardless of the submanifold (curve) that one picks. The results are obtained by characterizing the behavior of the defect measures of eigenfunctions with maximal averages. This is based on joint work with Jeffrey Galkowski.