Resumen de Energy of zeros of random sections on Riemann surfaces

Qi Zhong

• 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?8 and more generally the zeros of random holomorphic sections of a line bundle L?M over any Riemann surface M . We also compare our results to the well-known minimum of energies.