event
Thursday 20 Oct 2016: On the number of nodal domains of toral eigenfunctions
Igor Wigman - King's College
H103 14:30-16:30
We study the number of nodal domains of toral Laplace eigenfunctions. Following Nazarov-Sodin's results for random fields and Bourgain's de-randomisation procedure we establish a precise asymptotic result for "generic" eigenfunctions. Our main results in particular imply an optimal lower bound for the number of nodal domains of generic toral eigenfunctions. This work is joint with Jerry Buckley.
