Energy of zeros of random sections on Riemann surfaces
Qi Zhong
53C5646N30random zerosrandom sections
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.
Indiana University Mathematics Journal
2008
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10.1512/iumj.2008.57.3329
10.1512/iumj.2008.57.3329
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Indiana Univ. Math. J. 57 (2008) 1753 - 1780
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