Abstract:Given a sequence ( n ) of standard i.i.d complex Gaussian random variables, Peres and Virág (in the paper "Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process" Acta Math. (2005) 194, 1-35) discovered the striking fact that the zeros of the random power series f (z) = ∑ ∞ n=1 n z n−1 in the complex unit disc constitute a determinantal point process. The study of the zeros of the general random series f(z), where the restriction of independence is relaxed upon the random vari… Show more
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