2019
Jun
06

# Colloquium: Ram Band (Technion) - Neumann Domains

2:30pm to 3:30pm

## Location:

Manchester Building (Hall 2), Hebrew University Jerusalem

Abstract:

The nodal set of a Laplacian eigenfunction forms a partition of the underlying manifold.

An alternative partition, based on the gradient field of the eigenfunction, is via the so called Neumann domains.

A Neumann domain of an eigenfunction is a connected component of the intersection between the stable

manifold of a certain minimum and the unstable manifold of a certain maximum.

We introduce this subject, discuss various properties of Neumann domains and

point out the similarities and differences between nodal domains and Neumann domains.

The nodal set of a Laplacian eigenfunction forms a partition of the underlying manifold.

An alternative partition, based on the gradient field of the eigenfunction, is via the so called Neumann domains.

A Neumann domain of an eigenfunction is a connected component of the intersection between the stable

manifold of a certain minimum and the unstable manifold of a certain maximum.

We introduce this subject, discuss various properties of Neumann domains and

point out the similarities and differences between nodal domains and Neumann domains.