2 papers
math.PR2025
The density of zeros of random power series with stationary complex Gaussian coefficients
Tomoyuki Shirai
We study the zeros of random power series with stationary complex Gaussian coefficients, whose spectral measure is absolutely continuous. We analyze the precise asymptotic behavior…
math.PR2025
Spectral representation of correlation functions for zeros of Gaussian power series with stationary coefficients
Tomoyuki Shirai
We analyze Gaussian analytic functions (GAFs) defined as power series with coefficients modeled by discrete stationary Gaussian processes, utilizing their spectral measures. We rev…