Christopher S. Corley

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20192021

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math.PR2021

The complex zeros of random orthogonal polynomials

Christopher Corley, Andrew Ledoan, Aaron Yeager

We utilize Cauchy's argument principle in combination with the Jacobian of a holomorphic function in several complex variables and the first moment of a ratio of two correlated com…

math.PR2020

The level crossings of random sums

Christopher Corley, Andrew Ledoan

Let ${η_{j}}_{j = 0}^{N}$ be a sequence of independent and identically distributed complex normal random variables with mean zero and variances ${σ_{j}^{2}}_{j = 0}^{N}$ . Let $…

math.PR2019

The density of complex zeros of random sums

Christopher Corley, Andrew Ledoan

Let ${η_{j}}_{j = 0}^{N}$ be a sequence of independent, identically distributed random complex Gaussian variables, and let ${f_{j} (z)}_{j = 0}^{N}$ be a sequence of given anal…