Energy of zeros of random sections on Riemann surfaces

• Autores: Qi Zhong
• Localización: Indiana university mathematics journal, ISSN 0022-2518, Vol. 57, Nº 4, 2008, págs. 1753-1780
• Idioma: inglés
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• Resumen

  • 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.