作者:Bleher, P; Shiffman, B; Zelditch, S
作者单位:Purdue University System; Purdue University; Purdue University in Indianapolis; Johns Hopkins University
摘要:We study the limit as N --> infinity of the correlations between simultaneous zeros of random sections of the powers L-N of a positive holomorphic line bundle L over a compact complete manifold M, when distances are rescaled so that the average density of zeros is independent of N, We show that the limit correlation is independent of the line bundle and depends only on the dimension of M and the codimension of the zero sets, We also provide some explicit formulas for pair correlations. In part...
作者:Korányi, A; Reimann, HM
作者单位:City University of New York (CUNY) System; Lehman College (CUNY); University of Bern