Brian Macdonald
Johns Hopkins University
Title: Statistics of non-real zeros and critical points of real random polynomial system.
We will use the Poincare-Lelong formula to show that the expected density of non-real zeros of random polynomial systems with real coefficients rapidly approaches the expected density in the complex coefficients case. Then we will use the Kac-Rice formula to prove the analogous result for critical points of a real random polynomial in several variables

©2007, Department of Mathematical Sciences
Last Modified: December 5, 2007