2019
Apr
10

# Analysis Seminar: Gregory Berkolaiko (Texas A&M) "Nodal statistics of graph eigenfunctions"

12:00pm to 1:00pm

## Location:

Ross 70

Title: Nodal statistics of graph eigenfunctions

Abstract: Understanding statistical properties of zeros of Laplacian

eigenfunctions is a program which is attracting much attention from

mathematicians and physicists. We will discuss this program in the

setting of "quantum graphs", self-adjoint differential operators

acting on functions living on a metric graph.

Numerical studies of quantum graphs motivated a conjecture that the

distribution of nodal surplus (a suitably rescaled number of zeros of

Abstract: Understanding statistical properties of zeros of Laplacian

eigenfunctions is a program which is attracting much attention from

mathematicians and physicists. We will discuss this program in the

setting of "quantum graphs", self-adjoint differential operators

acting on functions living on a metric graph.

Numerical studies of quantum graphs motivated a conjecture that the

distribution of nodal surplus (a suitably rescaled number of zeros of