Igor Wigman: On the nodal sets of random band limited functions.
Igor Wigman, KCL
Time: Tue 2014-02-11 13.15
Location: 3721
We consider some nodal aspects of random Gaussian
band-limited functions on a Riemannian manifold.
These include some important examples (such as Random
Spherical Harmonics, "Complex Fubini -Study" and
"Real Fubini-Study"). Using techniques based on the
powerful methods recently developed by Nazarov and
Sodin we establish the semi-locality and the existence
of a universal law for a number of properties, such
as the homeomorphy classes of nodal components,
and their connectivity graph in the high energy limit.
This work is joint with Peter Sarnak.