Expected Number of Zeros of Random Power Series with Finitely Dependent Gaussian Coefficients
Expected Number of Zeros of Random Power Series with Finitely Dependent Gaussian Coefficients
Abstract We are concerned with zeros of random power series with coefficients being a stationary, centered, complex Gaussian process. We show that the expected number of zeros in every smooth domain in the disk of convergence is less than that of the hyperbolic Gaussian analytic function with i.i.d. coefficients. When …