Sean O'Rourke : Publications
A full list of my papers and preprints is available below. Many of my recent preprints can also be found at the arXiv in list format.
 A. Campbell, S. O'Rourke,
Spectrum of HeavyTailed Elliptic Random Matrices,
submitted, available at arXiv:2010.01261.
 V. Jain, I. Jana, K. Luh, S. O'Rourke,
Circular law for random block band matrices with genuinely sublinear bandwidth,
submitted, available at arXiv:2008.03850.
 K. Luh, S. O'Rourke,
Eigenvectors and controllability of nonHermitian random matrices and directed graphs,
submitted, available at arXiv:2004.10543.
 S. O'Rourke, N. Williams,
Partial linear eigenvalue statistics for nonHermitian random matrices,
submitted, available at arXiv:1912.08856.
 S. O'Rourke, S. Steinerberger,
A Nonlocal Transport Equation Modeling Complex Roots of Polynomials under Differentiation,
to appear in Proceedings of the American Mathematical Society, available at arXiv:1910.12161.
 S. O'Rourke, T. R. Reddy,
Sums of random polynomials with independent roots,
Journal of Mathematical Analysis and Applications, Vol. 495, No. 1 (2021), 124719.
 S. O'Rourke, N. Williams,
On the local pairing behavior of critical points and roots of random polynomials,
Electronic Journal of Probability, Vol. 25, Paper No. 100 (2020), 68 pp.
 K. Luh, S. O'Rourke,
Eigenvector Delocalization for NonHermitian Random Matrices and Applications,
Random Structures & Algorithms, Vol. 57, No. 1 (2020), 169210.
 N. Coston, S. O'Rourke,
Gaussian fluctuations for linear eigenvalue statistics of products of independent iid random matrices,
Journal of Theoretical Probability, Vol. 33, No. 3 (2020), 15411612.
 S. O'Rourke, V. Vu, K. Wang,
Random perturbation and matrix sparsification and completion,
available at arXiv:1803.00679.
 P. Kopel, S. O'Rourke, V. Vu,
Random matrix products: Universality and least singular values,
Annals of Probability, Vol. 48, No. 3 (2020), 13721410.
 N. Coston, S. O'Rourke, P. Wood,
Outliers in the spectrum for products of independent random matrices,
Annales de l’Institut Henri Poincaré  Probabilités et Statistiques, Vol. 56, No. 2 (2020), 12841320.
 S. O'Rourke, B. Touri,
LittlewoodOfford theory and controllability of random structures,
2016 IEEE 55th Conference on Decision and Control (CDC), Las Vegas, NV, 2016, pp. 51955200.
 S. O'Rourke, N. Williams,
Pairing between zeros and critical points of random polynomials with independent roots,
Transactions of the American Mathematical Society, Volume 371, Number 4 (2019), pp. 23432381.
 S. O'Rourke, P. Wood,
Lowdegree factors of random polynomials,
Journal of Theoretical Probability, Volume 32, Issue 2 (2019), pp. 10761104.
 S. O'Rourke, V. Vu, K. Wang,
Eigenvectors of random matrices: A survey,
Journal of Combinatorial Theory, Series A, Vol. 144 (2016), 361442.
 S. O'Rourke, B. Touri,
On a conjecture of Godsil concerning controllable random graphs,
SIAM J. Control Optim. Vol. 54, No. 6 (2016), pp. 33473378.
 S. O'Rourke, P. Wood,
Spectra of nearly Hermitian random matrices,
Annales de l’Institut Henri Poincaré  Probabilités et Statistiques, Vol. 53, No. 3 (2017), 12411279.

S. O'Rourke, B. Touri,
Controllability of random systems: Universality and minimal controllability,
available at arXiv:1506.03125.

S. O'Rourke,
Critical points of random polynomials and characteristic polynomials of random matrices,
International Mathematics Research Notices, Vol. 2016, No. 18 (2016), pp. 56165651.

S. O'Rourke, D. Renfrew,
Central limit theorem for linear eigenvalue statistics of elliptic random matrices,
Journal of Theoretical Probability, Volume 29, Issue 3 (2016), pp. 11211191.

S. O'Rourke, D. Renfrew, A. Soshnikov, V. Vu,
Products of independent elliptic random matrices,
J. Stat. Phys. Vol. 160, No. 1 (2015), 89119.

S. O'Rourke, V. Vu, K. Wang,
Random perturbation of low rank matrices: Improving classical bounds,
Linear Algebra and its Applications, Volume 540 (2018), pp. 2659.

S. O'Rourke, D. Renfrew,
Low rank perturbations of large elliptic random matrices,
Electronic Journal of Probability Vol. 19, No. 43, 165 (2014).

H. Nguyen, S. O'Rourke,
On the concentration of random multilinear forms and the universality of random block matrices,
Probability Theory and Related Fields Volume 162, Issue 12, pp 97154 (2015).

S. O'Rourke, V. Vu,
Universality of local eigenvalue statistics in random matrices with external source,
Random Matrices: Theory and Applications, Vol. 3, No. 2 (2014).

S. O'Rourke, A. Soshnikov,
Partial linear eigenvalue statistics for Wigner and sample covariance random matrices,
J. Theor. Probab. Vol. 28, No. 2 (2015), 726744.

H. Nguyen, S. O'Rourke,
The elliptic law,
International Mathematics Research Notices, Vol. 2015, No. 17 (2015), pp. 76207689.

S. O'Rourke,
A note on the MarchenkoPastur law for a class of random matrices with dependent entries,
Electronic Communications in Probability, Vol. 17, Art. 28, pp. 113 (2012).

S. O'Rourke,
Fluctuations of Matrix Entries of Analytic Functions of NonHermitian Random Matrices,
Random Matrices: Theory and Applications, Vol. 1, No. 3 (2012).

S. O'Rourke, D. Renfrew, A. Soshnikov,
Fluctuations of Matrix Entries of Regular Functions of Sample Covariance Random Matrices,
Theory Probab. Appl. Vol. 58, No. 4, pp. 615639 (2014).

S. O'Rourke, D. Renfrew, A. Soshnikov,
On Fluctuations of Matrix Entries of Regular Functions of Wigner Matrices with NonIdentically Distributed Entries,
J. Theor. Probab. Vol. 26, No. 3 (2013), 750780.

S. O'Rourke, A. Soshnikov,
Products of Independent NonHermitian Random Matrices,
Electronic Journal of Probability, Vol. 16, Art. 81, 22192245 (2011).

P. Dueck, S. O'Rourke, D. Renfrew, A. Soshnikov,
Spectral Properties of Large Random Matrices with Independent Entries,
Noncommutative Harmonic Analysis with Applications to Probability III. Banach Center Publ. Vol. 96, 115134 (2012).

S. O'Rourke,
Gaussian Fluctuations of Eigenvalues in Wigner Random Matrices,
J. Stat. Phys. Vol. 138, No. 6 (2010), 10451066.
Copyright © 20142021, Sean O'Rourke
All rights reserved.
Sean O'Rourke, Department of Mathematics. University of Colorado Boulder.