Aaron M. Yeager

collaborators

3 papers

math.CA2020

Zeros of Complex Random Polynomials Spanned by Bergman Polynomials

Marianela Landi, Kayla Johnson, Garrett Moseley +1

We study the expected number of zeros of $P_{n} (z) = k = 0 \sum n η_{k} p_{k} (z),$ where ${η_{k}}$ are complex-valued i.i.d standard Gaussian random variables, and ${p_{k} (z)}$ are polynom…

math.CA2019

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC

Aaron M. Yeager

Let ${φ_{k}}_{k = 0}^{\infty}$ be a sequence of orthonormal polynomials on the unit circle (OPUC) with respect to a probability measure $μ$ . We study the variance of the number of ze…

math.CA2019

Real Zeros of Random Sums with I.I.D. Coefficients

Aaron M. Yeager

Let ${f_{k}}$ be a sequence of entire functions that are real valued on the real-line. We study the expected number of real zeros of random sums of the form $P_n(z)=\sum_{k=0}^nη_k…