IUMJ

Title: Energy of zeros of random sections on Riemann surfaces

Authors: Qi Zhong

Issue: Volume 57 (2008), Issue 4, 1753-1780

Abstract:

The purpose of this paper is to determine the asymptotic of the average energy of a configuration of $N$ zeros of a system of random polynomials of degree $N$ as $N \to \infty$ and more generally the zeros of random holomorphic sections of a line bundle $L\to M$ over any Riemann surface $M$. We also compare our results to the well-known minimum of energies.