Quantum Ergodicity and the number of nodal domains of eigenfunctions

Spectral Geometry Seminar
Topic:Quantum Ergodicity and the number of nodal domains of eigenfunctions
Speaker:Junehyuk Jung
Affiliation:Member, School of Mathematics
Date:Monday, March 16
Time/Room:3:30pm - 4:30pm/S-101

In this talk I'll first go over some problems and related results in spectral geometry. Then I'll explain how one can apply Quantum Ergodicity and Bochner's theorem to prove that the number of nodal domains of quantum ergodic sequence of even eigenfunctions tends to infinity as the eigenvalue $\lambda \to +\infty$. This talk is based on the joint works with S. Zelditch and with S. Jang.