Tel-Aviv University
School of Mathematical Sciences

Department Colloquium

Monday, November 25, 2013

Schreiber 006, 12:15

Peter Sarnak

Princeton University & the Institute for Advanced Study

Nodal domains of eigenmodes of the Laplacian and of random band limited functions

It is believed that the eigenfunctions of the quantizations of classically
chaotic Hamiltonians behave like random band limited functions.
We discuss the laws of distribution of the topologies of the nodal sets
and nodal domains of such random functions as well as of random real
projective algebraic hyper-surfaces, and compare these with nodal domains
of eigenfunctions of arithmetic surfaces.

Coffee will be served at 12:00 before the lecture
at Schreiber building 006