Laboratoire de Mathématiques d'Orsay, Université Paris-Saclay
Date(s) : 02/05/2016 iCal
10 h 00 min - 11 h 00 min
An equidistribution theorem on the zeros of random sections of a positive line bundle was obtained by Shiffman-Zelditch. Dinh-Sibony extended it in the case of general measures. We construct a large family of singular moderate measures which satisfies the equidistribution property. A convergence speed of the equidistribution is also given. The method follows the techniques of exponential estimates for plurisubharmonic functions.