Description
Title: Asymptotic estimates on the geometry of Laplace eigenfunctions
Abstract: Given a closed smooth Riemannian manifold M, the Laplace operator
is known to possess a discrete spectrum of eigenvalues going to infinity.
We are interested in the properties of the nodal sets and nodal domains of
corresponding eigenfunctions in the high energy (semiclassical) limit. We
focus on some recent results on the size of nodal domains and tubular
neighbourhoods of nodal sets of
such high energy eigenfunctions (joint work with Bogdan Georgiev).