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Random polynomials of high degree and Levy concentration of measure

Random polynomials of high degree and Levy concentration of measure

We show that the C 9 norms of random sequences of holomorphic sections SN € i^0(M, L^) of powers of a positive line bundle L over a compact Kahler manifold M satisfy Mp/lhv||2 = { ouWlV) for p = L <OC } almost surely.This estimate also holds for almost-holomorphic sections …