A. Ledoan

activity

20082023

most citedZeros of partial sums of the Riemann zeta-function

7 citations · 7 across the 8 of their papers we have counts for

collaborators

Showing math.PRShow all

4 papers · 1 filter

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…

math.PR2010

A Universality Property of Gaussian Analytic Functions

Andrew Ledoan, Marco Merkli, Shannon Starr

We consider random analytic functions defined on the unit disk of the complex plane as power series such that the coefficients are i.i.d., complex valued random variables, with mea…