David Renfrew
I am an associate 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:
Teaching - See brightspace
Research Papers:
Planar Novikov-Shubin invariant for block random matrices
available at arXiv:2411.10311 math.PR
(joint work with Torben Krüger)
Universality for roots of derivatives of entire functions via finite free probability
available at arXiv:2410.06403 math.PR
(joint work with Andrew Campbell, Sean O'Rourke)
The fractional free convolution of R-diagonal operators and random polynomials under repeated differentiation
available at arXiv:2307.11935 math.PR
International Mathematics Research Notices, v. 2024, Issue 13 (2024)
(joint work with Andrew Campbell, Sean O'Rourke)
Singularity degree of structured random matrices
available at arXiv:2108.08811 math.PR
Annales de l'Institut Henri Poincare (B) Probabilites et Statistiques v. 61, No. 2 (2025)
(joint work with Torben Krüger)
Non-Hermitian random matrices with a variance profile (II): Properties and Examples
available at arXiv:2007.15438 math.PR
Journal of Theoretical Probability, v. 35, No. 4 (2022)
(joint work with Nick Cook, Walid Hachem, and Jamal Najim)
Randomly coupled differential equations with elliptic correlations
available at arXiv:1908.05178 math.PR
Annals Applied Probability, v. 33, No. 4 (2023)
(joint work with László Erdős, Torben Krüger)
Eigenvalues of random non-Hermitian matrices and randomly coupled differential equations
Oberwolfach Reports, v. 16, no. 4, p. 3502-3404 (2020)
(joint work with László Erdős, Torben Krüger)
Power Law Decay for Systems of Randomly Coupled Differential Equations
available at arXiv:1708.01546 math.PR
SIAM Journal of Mathemathical Analysis, v. 50, Issue 3 (2018)
(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
Electronic Journal of Probability, v. 23 (2018)
(joint work with Nick Cook, Walid Hachem, and Jamal Najim)
Low-dimensional dynamics of structured random networks
available at arXiv:1509.02546 cond-mat.dis-nn
Phys Rev E. v. 93, Issue 2 (2016)
(joint work with Johnatan Aljadeff, Marina Vegué, and Tatyana O. Sharpee)
Eigenvalues of block structured asymmetric random matrices
available at arXiv:1411.2688 math.PR
Journal of Mathematical Physics v. 56, Issue 10 (2015)
(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
Journal of Theoretical Probability v. 29, No. 3 (2016)
(joint work with Sean O'Rourke)
Products of independent elliptic random matrices
available at arXiv:1403.6080 math.PR
Journal of Statistical Physics, v. 160, Issue 1 (2015)
(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
Electronic Journal of Probability, v. 19, no. 43 (2014)
(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 Spectral Properties of Large
Random Matrices with Independent Entries Numerical ranges of cube roots of the identity
available at arXiv:arXiv:1103.1170 math.PR
Journal of Statistical Physics, v. 146, No. 3
(2012)
(joint with Alessandro Pizzo and
Alexander Soshnikov).
XIIIth Workshop "Noncommutative Harmonic Analysis" (
(joint with Pierre Dueck,
Sean O'Rourke and
Alexander Soshnikov).
Linear Algebra Applications, 435 (2011)
(joint work with Thomas Ryan Harris, Michael Mazzella, Linda J. Patton, Ilya M. Spitovsky)