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We show that the zeros of random sequences of Gaussian systems of polynomials of increasing degree almost surely converge to the expected limit distribution under very general hypotheses.
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P. Bleher, B. Shiffman, and S. Zelditch, Correlations between zeros and supersymmetry, Comm. Math. Phys
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R. Berman, Bergman kernels, random zeroes and equilibrium measures for polarized pseudoconcave domains, arXiv:math/0608226v2
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R. Berman, Bergman kernels and equilibrium measures for ample line bundles, arXiv:0704.1640v1
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B. Shiffman and S. Zelditch, Number variance of random zeros on complex manifolds, Geom. Funct. Anal
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B. Shiffman and S. Zelditch, Number variance of random zeros on complex manifolds, arXiv:math/0608743v1. (This early version of [ SZ4 ] contains additional results to be published elsewhere.)
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2007
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T. Bloom and B. Shiffman, Zeros of random polynomials on ℂ m {\mathbb{C}}^{m} , Math. Res. Lett
2007
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