Energy of zeros of random sections on Riemann Surface

Details Energy of zeros of random sections on Riemann Surface Energy of zeros of random sections on Riemann Surface

2007-05-14

arxiv.org/abs/0705.2000v1

Mathematics

Complex Variables

18 pages

Scientific paper

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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