School of Mathematical Sciences

Department Colloquium

Schreiber 006, 12:15

Princeton University & the Institute for Advanced Study

It is believed that the eigenfunctions of the quantizations of classically

Abstract:

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