Convergence of random zeros on complex manifolds
Complex Variables
2015-05-13 v1 Algebraic Geometry
Probability
Abstract
We show that the zeros of random sequences of Gaussian systems of polynomials of increasing degree almost surely converge to the expected limit distribution under very general hypotheses. In particular, the normalized distribution of zeros of systems of m polynomials of degree N, orthonormalized on a regular compact subset K of C^m, almost surely converge to the equilibrium measure on K as the degree N goes to infinity.
Cite
@article{arxiv.0708.2754,
title = {Convergence of random zeros on complex manifolds},
author = {Bernard Shiffman},
journal= {arXiv preprint arXiv:0708.2754},
year = {2015}
}
Comments
16 pages