Random polynomials of high degree and Levy concentration of measure

Mathematics – Complex Variables

Scientific paper

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Includes results from our posted paper math.SG/0001102. Almost sure L^p bounds and the relationship to concentration of measur

Scientific paper

We show that the L^p norms of random sequences {s_N} of L^2 normalized holomorphic sections of increasing powers of an ample line bundle on a compact Kahler manifold are almost surely bounded for 2

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