David Renfrew

I am an assistant professor at SUNY Binghamton.

I graduated from UC Davis.
My advisor was Alexander Soshnikov.

My research interests
include probability, random matrix theory and mathematical
physics. Here is my CV.

**Contact Information:**

Email: renfrew *at*
math *dot* binghamton *dot* edu

Office:

The fractional free convolution of R-diagonal operators and random polynomials under repeated differentiation

available at arXiv:2307.11935 math.PR

(joint work with Andrew Campbell, Sean O'Rourke)

Singularity degree of structured random matrices

available at arXiv:2108.08811 math.PR

(joint work with Torben Krüger)

Non-Hermitian random matrices with a variance profile (II): Properties and Examples

available at arXiv:2007.15438 math.PR

(joint work with Nick Cook, Walid Hachem, and Jamal Najim)

Randomly coupled differential equations with elliptic correlations

available at arXiv:1908.05178 math.PR

(joint work with László Erdős, Torben Krüger)

Power Law Decay for Systems of Randomly Coupled Differential Equations

available at arXiv:1708.01546 math.PR

(joint work with László Erdős, Torben Krüger)

Non-Hermitian random matrices with a variance profile (I): deterministic equivalents and limiting ESDs

available at arXiv:1612.04428 math.PR

(joint work with Nick Cook, Walid Hachem, and Jamal Najim)

Eigenvalues of block structured asymmetric random matrices

available at arXiv:1411.2688 math.PR

(joint work with Johnatan Aljadeff and Merav Stern)

Central limit theorem for linear eigenvalue statistics of elliptic random matrices

available at arXiv:1410.4586 math.PR

(joint work with Sean O'Rourke)

Products of independent elliptic random matrices

available at arXiv:1403.6080 math.PR

(joint work with Sean O'Rourke, Alexander Soshnikov, and Van Vu)

Low rank perturbations of large elliptic random matrices

available at arXiv:1309.5326 math.PR

(joint work with Sean O'Rourke)

On Finite Rank Deformations of Wigner Matrices II: Delocalized Perturbations

available at arXiv:1203.5130 math.PR

Random Matrices: Theory and Applications, v. 2, No. 1
(2013)

(joint work with Alexander Soshnikov)

Fluctuations of Matrix
Entries of Regular Functions of Sample Covariance Random
Matrices

available at arXiv:1106.0320 math.PR

**Theory of Probability & Its Applications, v. 58, No. 4, (2014)
**

(joint
with Sean O'Rourke
and Alexander Soshnikov).

On Fluctuations of Matrix
Entries of Regular Functions of Wigner Matrices with
Non-Identically Distributed Entries

available at arXiv:1104.1663 math.PR

**Journal of Theoretical Probability v. 26, No. 3, (2013)
**

(joint with Sean O'Rourke and Alexander Soshnikov).

On Finite Rank Deformations
of Wigner Matrices

available at arXiv:1103.3731 math.PR

** Annales de l'Institut Henri Poincare (B) Probabilites et Statistiques, v. 49, No. 1,
(2013) **

(joint with Alessandro Pizzo and
Alexander Soshnikov).

Fluctuations of Matrix
Entries of Regular Functions of Wigner Matrices

available at arXiv:arXiv:1103.1170 math.PR

**Journal of Statistical Physics, v. 146, No. 3,
(2012)**

(joint with Alessandro Pizzo and
Alexander Soshnikov).

Spectral Properties of Large
Random Matrices with Independent Entries

XIIIth Workshop **"Noncommutative Harmonic Analysis" ( Bedlewo,
Poland,
2010), ** (M.Bozejko, A.Krystek, L.Wojakowski
eds.)

(joint with Pierre Dueck, Sean O'Rourke and Alexander Soshnikov).

Numerical ranges of cube roots of the identity

**Linear Algebra Applications, 435, (2011) **

(joint work with Thomas Ryan Harris, Michael Mazzella, Linda J. Patton, Ilya M. Spitovsky)