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arXiv · 0705.2000

Energy of zeros of random sections on Riemann Surface

Qi Zhong
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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.

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Qi Zhong. 2007-05-14. Energy of zeros of random sections on Riemann Surface. https://arxiv.org/abs/0705.2000

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