Convergence of random zeros on complex manifolds

• 来源期刊: 中国科学A辑(英文版)
• 年，卷（期）: 2008,（4）
• 页码范围: 707-720
• 页数: 14页
• 语种: 英文
• DOI: 10.1007/s11425-008-0060-9

摘要

We show that the zeros of random sequences of Gaussian systems of polynomials of in-creasing 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,orthonor-malized on a regular compact set K(∪)Cm,almost surely converge to the equilibrium measure on K as N →∞.