From Random Polynomials to Symplectic Geometry
Abstract
Description
We review some recent results on random polynomials and their generalizations in complex and symplectic geometry. The main theme is the universality of statistics of zeros and critical points of (generalized) polynomials of degree $N$ on length scales of order $\frac{D}{\sqrt{N}}$ (complex case), resp. $\frac{D}{N}$ (real case).
Expository article for Proceedings ICMP 2000
Expository article for Proceedings ICMP 2000