Nodal Lines of Random Waves

Nodal Lines of Random Waves - M. Sodin

M. Sodin
Tel Aviv University
October 26, 2010

In the talk, I will describe recent attempts to understand the mysterious and beautiful geometry of nodal lines of random spherical harmonics and of random plane waves. If time permits, I will also discuss asymptotic statistical topology of other natural polynomial-like ensembles of random functions. The talk is based on a joint work with Fedja Nazarov.