Energy of zeros of random sections on Riemann Surface
Complex Variables
2007-05-23 v1 Probability
Abstract
The purpose of this paper is to determine the asymptotic of the average energy of a configuration of N zeros of system of random polynomials of degree N as N tends to infinity and more generally the zeros of random holomorphic sections of a line bundle L over any Riemann surface M. And we compare our results to the well-known minimum of energies.
Keywords
Cite
@article{arxiv.0705.2000,
title = {Energy of zeros of random sections on Riemann Surface},
author = {Qi Zhong},
journal= {arXiv preprint arXiv:0705.2000},
year = {2007}
}
Comments
18 pages