Convergence of Random Zeros on Complex Manifolds
نویسنده
چکیده
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. In particular, the normalized distribution of zeros of systems of m polynomials of degree N , orthonormalized on a regular compact set K ⊂ Cm, almost surely converge to the equilibrium measure on K as N → ∞.
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