Aaron M. Yeager

activity

20102021

C_{n} □ C_{n}

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

collaborators

10 papers

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.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…

math.CA2017

Zeros of real random polynomials spanned by OPUC

Maxim L. Yattselev, Aaron Yeager

Let $ \{φ_i\}_{i=0}^\infty $ be a sequence of orthonormal polynomials on the unit circle with respect to a probability measure $ μ$. We study zero distribution of random linear…

math.CA2017

Zeros of random orthogonal polynomials with complex Gaussian coefficients

Aaron Yeager

Let ${f_{j}}_{j = 0}^{n}$ be a sequence of orthonormal polynomials where the orthogonality relation is satisfied on either the real line or on the unit circle. We study zero distributi…

math.PR2016

Zeros of random linear combinations of OPUC with complex Gaussian coefficients

Aaron M. Yeager

We study zero distribution of random linear combinations of the form $P_{n} (z) = j = 0 \sum n η_{j} ϕ_{j} (z),$ in any Jordan region $Ω \subset C$ . The basis functions $ϕ_{j}$ are orth…

math.PR2016★ 2 cited

Zeros of random linear combinations of entire functions with complex Gaussian coefficients

Aaron Yeager

We study zero distribution of random linear combinations of the form $P_{n} (z) = j = 0 \sum n η_{j} f_{j} (z),$ in any Jordan region $Ω \subset C$ . The basis functions $f_{j}$ are enti…

math.PR2014★ 1 cited

Zeros of Polynomials with Random Coefficients

Igor E. Pritsker, Aaron M. Yeager

Zeros of many ensembles of polynomials with random coefficients are asymptotically equidistributed near the unit circumference. We give quantitative estimates for such equidistribu…

math.CO2010★ 5 cited

The Radio Number of $C_{n} □ C_{n}$

Marc Morris-Rivera, Maggy Tomova, Cindy Wyels +1

Radio labeling is a variation of Hale's channel assignment problem, in which one seeks to assign positive integers to the vertices of a graph $G$ subject to certain constraints inv…

The complex zeros of random orthogonal polynomials

Zeros of Complex Random Polynomials Spanned by Bergman Polynomials

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

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

Zeros of real random polynomials spanned by OPUC

Zeros of random orthogonal polynomials with complex Gaussian coefficients

Zeros of random linear combinations of OPUC with complex Gaussian coefficients

Zeros of random linear combinations of entire functions with complex Gaussian coefficients

Zeros of Polynomials with Random Coefficients

The Radio Number of Cn​□Cn​

The Radio Number of $C_{n} □ C_{n}$