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TITLE: [GS_M_APP] Zeros of random power series with dependent Gaussian coefficients

ABSTRACT: Peres and Virág showed that zeros point process of random power series with independent, identically distributed (i.i.d.) standard complex Gaussian coefficients is the determinantal point process on the unit disk. In this talk, if we replace i.i.d. complex Gaussian coefficients with stationary complex Gaussian coefficients, we show that the expected number of zeros is sensitively affected by the zeros of spectral density of stationary Gaussian process of coefficients. This is joint work with Tomoyuki Shirai (Kyushu University).