Skip to content
Texas A&M University
Mathematics

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.