Publications

Contents

Papers and preprints

A full list of my papers and preprints is available below. See also my Google Scholar page as well as my CV.

Andrew Campbell, Sean O'Rourke and David Renfrew. Universality for roots of derivatives of entire functions via finite free probability. Submitted. Preprint available at arXiv:2410.06403. (2024). [arXiv:2410.06403] [BibTeX]
```
@misc{CampbellORourkeRenfrew24,
	author = {Campbell, Andrew and O'Rourke, Sean and Renfrew, David},
	year = {2024},
	title = {Universality for roots of derivatives of entire functions via finite free probability},
}
```

Sean O'Rourke and Noah Williams. An asymptotic refinement of the Gauss-Lucas Theorem for random polynomials with i.i.d. roots. Preprint available at arXiv:2409.09538. (2024). [arXiv:2409.09538] [BibTeX]

@misc{ORourkeWilliams24,
	author = {O'Rourke, Sean and Williams, Noah},
	year = {2024},
	title = {An asymptotic refinement of the {Gauss}-{Lucas} {Theorem} for random polynomials with i.i.d. roots},
}

Marcus Michelen and Sean O’Rourke. On random polynomials with an intermediate number of real roots. Proceedings of the American Mathematical Society 152, 4933–4942 (2024). [arXiv:2310.16966] [BibTeX] [Journal] [MR4802644]

@article{MR4802644,
	author = {Michelen, Marcus and O'Rourke, Sean},
	journal = {Proceedings of the American Mathematical Society},
	doi = {10.1090/proc/16999},
	issn = {0002-9939,1088-6826},
	number = {11},
	year = {2024},
	pages = {4933--4942},
	title = {On random polynomials with an intermediate number of real roots},
	url = {https://doi.org/10.1090/proc/16999},
	howpublished = {https://doi.org/10.1090/proc/16999},
	volume = {152},
}

Sean O'Rourke, Zhi Yin and Ping Zhong. Spectrum of Laplacian matrices associated with large random elliptic matrices. Submitted. Preprint available at arXiv:2308.16171. (2023). [arXiv:2308.16171] [BibTeX]
```
@misc{orourke2023spectrum,
	author = {O'Rourke, Sean and Yin, Zhi and Zhong, Ping},
	year = {2023},
	title = {Spectrum of {Laplacian} matrices associated with large random elliptic matrices},
}
```

Andrew Campbell, Sean O’Rourke and David Renfrew. The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation. International Mathematics Research Notices. IMRN 10189–10218 (2024). [arXiv:2307.11935] [BibTeX] [Journal] [MR4770365]

@article{MR4770365,
	author = {Campbell, Andrew and O'Rourke, Sean and Renfrew, David},
	journal = {International Mathematics Research Notices. IMRN},
	doi = {10.1093/imrn/rnae062},
	issn = {1073-7928,1687-0247},
	number = {13},
	year = {2024},
	pages = {10189--10218},
	title = {The fractional free convolution of {R}-diagonal elements and random polynomials under repeated differentiation},
	url = {https://doi.org/10.1093/imrn/rnae062},
	howpublished = {https://doi.org/10.1093/imrn/rnae062},
}

Sean O’Rourke, Van Vu and Ke Wang. Optimal Subspace Perturbation Bounds under Gaussian Noise. in 2023 IEEE International Symposium on Information Theory (ISIT) 2601–2606 (2023). [BibTeX] [Journal]

@inproceedings{ORourkeVuWangOptimal,
	author = {O\textquoteright{}Rourke, Sean and Vu, Van and Wang, Ke},
	booktitle = {2023 {IEEE} {International} {Symposium} on {Information} {Theory} ({ISIT})},
	doi = {10.1109/ISIT54713.2023.10206931},
	issn = {2157-8117},
	year = {2023},
	month = {6},
	pages = {2601--2606},
	title = {Optimal {Subspace} {Perturbation} {Bounds} under {Gaussian} {Noise}},
}

Andrew Campbell, Kyle Luh, Sean O'Rourke, Santiago Arenas-Velilla and Victor Pérez-Abreu. Extreme eigenvalues of Laplacian random matrices with Gaussian entries. Submitted. Preprint available at arXiv:2211.17175. (2022). [arXiv:2211.17175] [BibTeX]

@misc{campbell2022extreme,
	author = {Campbell, Andrew and Luh, Kyle and O'Rourke, Sean and Arenas-Velilla, Santiago and P{\' e}rez-Abreu, Victor},
	year = {2022},
	title = {Extreme eigenvalues of {Laplacian} random matrices with {Gaussian} entries},
}

Andrew Campbell and Sean O’Rourke. Spectrum of Lévy-Khintchine random Laplacian matrices. Journal of Theoretical Probability 37, 933–973 (2024). [arXiv:2210.07927] [BibTeX] [Journal] [MR4716339]

@article{MR4716339,
	author = {Campbell, Andrew and O'Rourke, Sean},
	journal = {Journal of Theoretical Probability},
	doi = {10.1007/s10959-023-01275-4},
	issn = {0894-9840,1572-9230},
	number = {1},
	year = {2024},
	pages = {933--973},
	title = {Spectrum of {L}{\' e}vy-{Khintchine} random {Laplacian} matrices},
	url = {https://doi.org/10.1007/s10959-023-01275-4},
	howpublished = {https://doi.org/10.1007/s10959-023-01275-4},
	volume = {37},
}

Isabelle Kraus, Marcus Michelen and Sean O’Rourke. Sums of random polynomials with differing degrees. Transactions of the American Mathematical Society 377, 3325–3355 (2024). [arXiv:2110.08623] [BibTeX] [Journal] [MR4744781]

@article{MR4744781,
	author = {Kraus, Isabelle and Michelen, Marcus and O'Rourke, Sean},
	journal = {Transactions of the American Mathematical Society},
	doi = {10.1090/tran/9128},
	issn = {0002-9947,1088-6850},
	number = {5},
	year = {2024},
	pages = {3325--3355},
	title = {Sums of random polynomials with differing degrees},
	url = {https://doi.org/10.1090/tran/9128},
	howpublished = {https://doi.org/10.1090/tran/9128},
	volume = {377},
}

Sean O’Rourke and Philip Matchett Wood. Quantitative results for banded Toeplitz matrices subject to random and deterministic perturbations. Linear Algebra and its Applications 657, 50–126 (2023). [arXiv:2106.04785] [BibTeX] [Journal] [MR4500257]

@article{MR4500257,
	author = {O'Rourke, Sean and Wood, Philip Matchett},
	journal = {Linear Algebra and its Applications},
	doi = {10.1016/j.laa.2022.10.016},
	issn = {0024-3795,1873-1856},
	year = {2023},
	pages = {50--126},
	title = {Quantitative results for banded {Toeplitz} matrices subject to random and deterministic perturbations},
	url = {https://doi.org/10.1016/j.laa.2022.10.016},
	howpublished = {https://doi.org/10.1016/j.laa.2022.10.016},
	volume = {657},
}

Richard Border, Sean O’Rourke, Teresa de Candia, Michael E. Goddard, Peter M. Visscher, Loic Yengo, Matt Jones and Matthew C. Keller. Assortative mating biases marker-based heritability estimators. Nature Communications 13, Article number: 660 (2022). [bioRxiv] [BibTeX] [Journal]

@article{Border2022,
	author = {Border, Richard and O'Rourke, Sean and de Candia, Teresa and Goddard, Michael E. and Visscher, Peter M. and Yengo, Loic and Jones, Matt and Keller, Matthew C.},
	journal = {Nature Communications},
	doi = {10.1038/s41467-022-28294-9},
	issn = {2041-1723},
	number = {1},
	year = {2022},
	month = {2},
	pages = {Article number: 660},
	publisher = {Springer Science},
	title = {Assortative mating biases marker-based heritability estimators},
	url = {http://dx.doi.org/10.1038/s41467-022-28294-9},
	volume = {13},
}

Andrew Campbell and Sean O’Rourke. Spectrum of heavy-tailed elliptic random matrices. Electronic Journal of Probability 27, Paper No. 125, 56 (2022). [arXiv:2010.01261] [BibTeX] [Journal] [MR4489824]

@article{MR4489824,
	author = {Campbell, Andrew and O'Rourke, Sean},
	journal = {Electronic Journal of Probability},
	doi = {10.1214/22-ejp849},
	issn = {1083-6489},
	year = {2022},
	pages = {Paper No. 125, 56},
	title = {Spectrum of heavy-tailed elliptic random matrices},
	url = {https://doi.org/10.1214/22-ejp849},
	howpublished = {https://doi.org/10.1214/22-ejp849},
	volume = {27},
}

Vishesh Jain, Indrajit Jana, Kyle Luh and Sean O’Rourke. Circular law for random block band matrices with genuinely sublinear bandwidth. Journal of Mathematical Physics 62, Paper No. 083306, 27 (2021). [arXiv:2008.03850] [BibTeX] [Journal] [MR4300220]

@article{MR4300220,
	author = {Jain, Vishesh and Jana, Indrajit and Luh, Kyle and O'Rourke, Sean},
	journal = {Journal of Mathematical Physics},
	doi = {10.1063/5.0042590},
	issn = {0022-2488,1089-7658},
	number = {8},
	year = {2021},
	pages = {Paper No. 083306, 27},
	title = {Circular law for random block band matrices with genuinely sublinear bandwidth},
	url = {https://doi.org/10.1063/5.0042590},
	howpublished = {https://doi.org/10.1063/5.0042590},
	volume = {62},
}

Kyle Luh and Sean O’Rourke. Eigenvectors and controllability of non-Hermitian random matrices and directed graphs. Electronic Journal of Probability 26, Paper No. 16, 43 (2021). [arXiv:2004.10543] [BibTeX] [Journal] [MR4235467]

@article{MR4235467,
	author = {Luh, Kyle and O'Rourke, Sean},
	journal = {Electronic Journal of Probability},
	doi = {10.1214/21-EJP588},
	issn = {1083-6489},
	year = {2021},
	pages = {Paper No. 16, 43},
	title = {Eigenvectors and controllability of non-{Hermitian} random matrices and directed graphs},
	url = {https://doi.org/10.1214/21-EJP588},
	howpublished = {https://doi.org/10.1214/21-EJP588},
	volume = {26},
}

S. O’Rourke and N. Williams. Partial linear eigenvalue statistics for non-Hermitian random matrices. Theory of Probability and its Applications 67, 613–632 (2023). [arXiv:1912.08856] [BibTeX] [MR4548666]

@article{MR4548666,
	author = {O'Rourke, S. and Williams, N.},
	journal = {Theory of Probability and its Applications},
	issn = {0040-585X,1095-7219},
	number = {4},
	year = {2023},
	note = {Reprint of Teor. Veroyatn. Primen. \textbf{67} (2022), 768--791.},
	pages = {613--632},
	title = {Partial linear eigenvalue statistics for non-{Hermitian} random matrices},
	volume = {67},
}

Sean O’Rourke and Stefan Steinerberger. A nonlocal transport equation modeling complex roots of polynomials under differentiation. Proceedings of the American Mathematical Society 149, 1581–1592 (2021). [arXiv:1910.12161] [BibTeX] [Journal] [MR4242313]

@article{MR4242313,
	author = {O'Rourke, Sean and Steinerberger, Stefan},
	journal = {Proceedings of the American Mathematical Society},
	doi = {10.1090/proc/15314},
	issn = {0002-9939,1088-6826},
	number = {4},
	year = {2021},
	pages = {1581--1592},
	title = {A nonlocal transport equation modeling complex roots of polynomials under differentiation},
	url = {https://doi.org/10.1090/proc/15314},
	howpublished = {https://doi.org/10.1090/proc/15314},
	volume = {149},
}

Sean O’Rourke and Tulasi Ram Reddy. Sums of random polynomials with independent roots. Journal of Mathematical Analysis and Applications 495, Paper No. 124719, 23 (2021). [arXiv:1909.07939] [BibTeX] [Journal] [MR4172872]

@article{MR4172872,
	author = {O'Rourke, Sean and Reddy, Tulasi Ram},
	journal = {Journal of Mathematical Analysis and Applications},
	doi = {10.1016/j.jmaa.2020.124719},
	issn = {0022-247X,1096-0813},
	number = {1},
	year = {2021},
	pages = {Paper No. 124719, 23},
	title = {Sums of random polynomials with independent roots},
	url = {https://doi.org/10.1016/j.jmaa.2020.124719},
	howpublished = {https://doi.org/10.1016/j.jmaa.2020.124719},
	volume = {495},
}

Sean O’Rourke and Noah Williams. On the local pairing behavior of critical points and roots of random polynomials. Electronic Journal of Probability 25, Paper No. 100, 68 (2020). [arXiv:1810.06781] [BibTeX] [Journal] [MR4136480]

@article{MR4136480,
	author = {O'Rourke, Sean and Williams, Noah},
	journal = {Electronic Journal of Probability},
	doi = {10.1214/20-ejp499},
	issn = {1083-6489},
	year = {2020},
	pages = {Paper No. 100, 68},
	title = {On the local pairing behavior of critical points and roots of random polynomials},
	url = {https://doi.org/10.1214/20-ejp499},
	howpublished = {https://doi.org/10.1214/20-ejp499},
	volume = {25},
}

Kyle Luh and Sean O’Rourke. Eigenvector delocalization for non-Hermitian random matrices and applications. Random Structures & Algorithms 57, 169–210 (2020). [arXiv:1810.00489] [BibTeX] [Journal] [MR4120597]

@article{MR4120597,
	author = {Luh, Kyle and O'Rourke, Sean},
	journal = {Random Structures & Algorithms},
	doi = {10.1002/rsa.20917},
	issn = {1042-9832,1098-2418},
	number = {1},
	year = {2020},
	pages = {169--210},
	title = {Eigenvector delocalization for non-{Hermitian} random matrices and applications},
	url = {https://doi.org/10.1002/rsa.20917},
	howpublished = {https://doi.org/10.1002/rsa.20917},
	volume = {57},
}

Natalie Coston and Sean O’Rourke. Gaussian fluctuations for linear eigenvalue statistics of products of independent iid random matrices. Journal of Theoretical Probability 33, 1541–1612 (2020). [arXiv:1809.08367] [BibTeX] [Journal] [MR4125967]

@article{MR4125967,
	author = {Coston, Natalie and O'Rourke, Sean},
	journal = {Journal of Theoretical Probability},
	doi = {10.1007/s10959-019-00905-0},
	issn = {0894-9840,1572-9230},
	number = {3},
	year = {2020},
	pages = {1541--1612},
	title = {Gaussian fluctuations for linear eigenvalue statistics of products of independent iid random matrices},
	url = {https://doi.org/10.1007/s10959-019-00905-0},
	howpublished = {https://doi.org/10.1007/s10959-019-00905-0},
	volume = {33},
}

Sean O’Rourke, Van Vu and Ke Wang. Matrices with Gaussian noise: optimal estimates for singular subspace perturbation. Institute of Electrical and Electronics Engineers. Transactions on Information Theory 70, 1978–2002 (2024). [arXiv:1803.00679] [BibTeX] [MR4709772]

@article{MR4709772,
	author = {O'Rourke, Sean and Vu, Van and Wang, Ke},
	journal = {Institute of Electrical and Electronics Engineers. Transactions on Information Theory},
	issn = {0018-9448,1557-9654},
	number = {3},
	year = {2024},
	pages = {1978--2002},
	title = {Matrices with {Gaussian} noise: optimal estimates for singular subspace perturbation},
	volume = {70},
}

Phil Kopel, Sean O’Rourke and Van Vu. Random matrix products: universality and least singular values. The Annals of Probability 48, 1372–1410 (2020). [arXiv:1802.03004] [BibTeX] [Journal] [MR4112718]

@article{MR4112718,
	author = {Kopel, Phil and O'Rourke, Sean and Vu, Van},
	journal = {The Annals of Probability},
	doi = {10.1214/19-AOP1396},
	issn = {0091-1798,2168-894X},
	number = {3},
	year = {2020},
	pages = {1372--1410},
	title = {Random matrix products: universality and least singular values},
	url = {https://doi.org/10.1214/19-AOP1396},
	howpublished = {https://doi.org/10.1214/19-AOP1396},
	volume = {48},
}

Natalie Coston, Sean O’Rourke and Philip Matchett Wood. Outliers in the spectrum for products of independent random matrices. Annales de l’Institut Henri Poincaré Probabilités et Statistiques 56, 1284–1320 (2020). [arXiv:1711.07420] [BibTeX] [Journal] [MR4076784]

@article{MR4076784,
	author = {Coston, Natalie and O'Rourke, Sean and Wood, Philip Matchett},
	journal = {Annales de l'Institut Henri Poincar{\' e} Probabilit{\' e}s et Statistiques},
	doi = {10.1214/19-AIHP1002},
	issn = {0246-0203,1778-7017},
	number = {2},
	year = {2020},
	pages = {1284--1320},
	title = {Outliers in the spectrum for products of independent random matrices},
	url = {https://doi.org/10.1214/19-AIHP1002},
	howpublished = {https://doi.org/10.1214/19-AIHP1002},
	volume = {56},
}

Sean O’Rourke and Behrouz Touri. Littlewood-Offord theory and controllability of random structures. in 2016 IEEE 55th Conference on Decision and Control (CDC) 5195–5200 (2016). [BibTeX] [Journal]

@inproceedings{ORourkeTouriLittlewoodOfford,
	author = {O'Rourke, Sean and Touri, Behrouz},
	booktitle = {2016 {IEEE} 55th {Conference} on {Decision} and {Control} ({CDC})},
	doi = {10.1109/CDC.2016.7799064},
	year = {2016},
	month = {12},
	pages = {5195--5200},
	title = {Littlewood-{Offord} theory and controllability of random structures},
}

Sean O’Rourke and Noah Williams. Pairing between zeros and critical points of random polynomials with independent roots. Transactions of the American Mathematical Society 371, 2343–2381 (2019). [arXiv:1610.06248] [BibTeX] [Journal] [MR3896083]

@article{MR3896083,
	author = {O'Rourke, Sean and Williams, Noah},
	journal = {Transactions of the American Mathematical Society},
	doi = {10.1090/tran/7496},
	issn = {0002-9947,1088-6850},
	number = {4},
	year = {2019},
	pages = {2343--2381},
	title = {Pairing between zeros and critical points of random polynomials with independent roots},
	url = {https://doi.org/10.1090/tran/7496},
	howpublished = {https://doi.org/10.1090/tran/7496},
	volume = {371},
}

Sean O’Rourke and Philip Matchett Wood. Low-degree factors of random polynomials. Journal of Theoretical Probability 32, 1076–1104 (2019). [arXiv:1608.01938] [BibTeX] [Journal] [MR3959638]

@article{MR3959638,
	author = {O'Rourke, Sean and Wood, Philip Matchett},
	journal = {Journal of Theoretical Probability},
	doi = {10.1007/s10959-018-0839-8},
	issn = {0894-9840,1572-9230},
	number = {2},
	year = {2019},
	pages = {1076--1104},
	title = {Low-degree factors of random polynomials},
	url = {https://doi.org/10.1007/s10959-018-0839-8},
	howpublished = {https://doi.org/10.1007/s10959-018-0839-8},
	volume = {32},
}

Sean O’Rourke, Van Vu and Ke Wang. Eigenvectors of random matrices: a survey. Journal of Combinatorial Theory. Series A 144, 361–442 (2016). [arXiv:1601.03678] [BibTeX] [Journal] [MR3534074]

@article{MR3534074,
	author = {O'Rourke, Sean and Vu, Van and Wang, Ke},
	journal = {Journal of Combinatorial Theory. Series A},
	doi = {10.1016/j.jcta.2016.06.008},
	issn = {0097-3165,1096-0899},
	year = {2016},
	pages = {361--442},
	title = {Eigenvectors of random matrices: a survey},
	url = {https://doi.org/10.1016/j.jcta.2016.06.008},
	howpublished = {https://doi.org/10.1016/j.jcta.2016.06.008},
	volume = {144},
}

Sean O’Rourke and Behrouz Touri. On a conjecture of Godsil concerning controllable random graphs. SIAM Journal on Control and Optimization 54, 3347–3378 (2016). [arXiv:1511.05080] [BibTeX] [Journal] [MR3585024]

@article{MR3585024,
	author = {O'Rourke, Sean and Touri, Behrouz},
	journal = {SIAM Journal on Control and Optimization},
	doi = {10.1137/15M1049622},
	issn = {0363-0129,1095-7138},
	number = {6},
	year = {2016},
	pages = {3347--3378},
	title = {On a conjecture of {Godsil} concerning controllable random graphs},
	url = {https://doi.org/10.1137/15M1049622},
	howpublished = {https://doi.org/10.1137/15M1049622},
	volume = {54},
}

Sean O’Rourke and Philip Matchett Wood. Spectra of nearly Hermitian random matrices. Annales de l’Institut Henri Poincaré Probabilités et Statistiques 53, 1241–1279 (2017). [arXiv:1510.00039] [BibTeX] [Journal] [MR3689967]

@article{MR3689967,
	author = {O'Rourke, Sean and Wood, Philip Matchett},
	journal = {Annales de l'Institut Henri Poincar{\' e} Probabilit{\' e}s et Statistiques},
	doi = {10.1214/16-AIHP754},
	issn = {0246-0203,1778-7017},
	number = {3},
	year = {2017},
	pages = {1241--1279},
	title = {Spectra of nearly {Hermitian} random matrices},
	url = {https://doi.org/10.1214/16-AIHP754},
	howpublished = {https://doi.org/10.1214/16-AIHP754},
	volume = {53},
}

Sean O'Rourke and Behrouz Touri. Controllability of random systems: Universality and minimal controllability. Not intended for publication. Preprint available at arXiv:1506.03125. (2015). [arXiv:1506.03125] [BibTeX]
```
@misc{orourke2015controllability,
	author = {O'Rourke, Sean and Touri, Behrouz},
	year = {2015},
	title = {Controllability of random systems: Universality and minimal controllability},
}
```

Sean O’Rourke. Critical points of random polynomials and characteristic polynomials of random matrices. International Mathematics Research Notices. IMRN 5616–5651 (2016). [arXiv:1412.4703] [BibTeX] [Journal] [MR3567254]

@article{MR3567254,
	author = {O'Rourke, Sean},
	journal = {International Mathematics Research Notices. IMRN},
	doi = {10.1093/imrn/rnv331},
	issn = {1073-7928,1687-0247},
	number = {18},
	year = {2016},
	pages = {5616--5651},
	title = {Critical points of random polynomials and characteristic polynomials of random matrices},
	url = {https://doi.org/10.1093/imrn/rnv331},
	howpublished = {https://doi.org/10.1093/imrn/rnv331},
}

Sean O’Rourke and David Renfrew. Central limit theorem for linear eigenvalue statistics of elliptic random matrices. Journal of Theoretical Probability 29, 1121–1191 (2016). [arXiv:1410.4586] [BibTeX] [Journal] [MR3540493]

@article{MR3540493,
	author = {O'Rourke, Sean and Renfrew, David},
	journal = {Journal of Theoretical Probability},
	doi = {10.1007/s10959-015-0609-9},
	issn = {0894-9840,1572-9230},
	number = {3},
	year = {2016},
	pages = {1121--1191},
	title = {Central limit theorem for linear eigenvalue statistics of elliptic random matrices},
	url = {https://doi.org/10.1007/s10959-015-0609-9},
	howpublished = {https://doi.org/10.1007/s10959-015-0609-9},
	volume = {29},
}

Sean O’Rourke, David Renfrew, Alexander Soshnikov and Van Vu. Products of independent elliptic random matrices. Journal of Statistical Physics 160, 89–119 (2015). [arXiv:1403.6080] [BibTeX] [Journal] [MR3357969]

@article{MR3357969,
	author = {O'Rourke, Sean and Renfrew, David and Soshnikov, Alexander and Vu, Van},
	journal = {Journal of Statistical Physics},
	doi = {10.1007/s10955-015-1246-5},
	issn = {0022-4715,1572-9613},
	number = {1},
	year = {2015},
	pages = {89--119},
	title = {Products of independent elliptic random matrices},
	url = {https://doi.org/10.1007/s10955-015-1246-5},
	howpublished = {https://doi.org/10.1007/s10955-015-1246-5},
	volume = {160},
}

Sean O’Rourke, Van Vu and Ke Wang. Random perturbation of low rank matrices: improving classical bounds. Linear Algebra and its Applications 540, 26–59 (2018). [arXiv:1311.2657] [BibTeX] [Journal] [MR3739989]

@article{MR3739989,
	author = {O'Rourke, Sean and Vu, Van and Wang, Ke},
	journal = {Linear Algebra and its Applications},
	doi = {10.1016/j.laa.2017.11.014},
	issn = {0024-3795,1873-1856},
	year = {2018},
	pages = {26--59},
	title = {Random perturbation of low rank matrices: improving classical bounds},
	url = {https://doi.org/10.1016/j.laa.2017.11.014},
	howpublished = {https://doi.org/10.1016/j.laa.2017.11.014},
	volume = {540},
}

Sean O’Rourke and David Renfrew. Low rank perturbations of large elliptic random matrices. Electronic Journal of Probability 19, nos. 43, 65 (2014). [arXiv:1309.5326] [BibTeX] [Journal] [MR3210544]

@article{MR3210544,
	author = {O'Rourke, Sean and Renfrew, David},
	journal = {Electronic Journal of Probability},
	doi = {10.1214/EJP.v19-3057},
	issn = {1083-6489},
	year = {2014},
	pages = {no. 43, 65},
	title = {Low rank perturbations of large elliptic random matrices},
	url = {https://doi.org/10.1214/EJP.v19-3057},
	howpublished = {https://doi.org/10.1214/EJP.v19-3057},
	volume = {19},
}

Hoi H. Nguyen and Sean O’Rourke. On the concentration of random multilinear forms and the universality of random block matrices. Probability Theory and Related Fields 162, 97–154 (2015). [arXiv:1309.4815] [BibTeX] [Journal] [MR3350042]

@article{MR3350042,
	author = {Nguyen, Hoi H. and O'Rourke, Sean},
	journal = {Probability Theory and Related Fields},
	doi = {10.1007/s00440-014-0567-7},
	issn = {0178-8051,1432-2064},
	number = {1-2},
	year = {2015},
	pages = {97--154},
	title = {On the concentration of random multilinear forms and the universality of random block matrices},
	url = {https://doi.org/10.1007/s00440-014-0567-7},
	howpublished = {https://doi.org/10.1007/s00440-014-0567-7},
	volume = {162},
}

Sean O’Rourke and Van Vu. Universality of local eigenvalue statistics in random matrices with external source. Random Matrices. Theory and Applications 3, 1450005, 37 (2014). [arXiv:1308.1057] [BibTeX] [Journal] [MR3208886]

@article{MR3208886,
	author = {O'Rourke, Sean and Vu, Van},
	journal = {Random Matrices. Theory and Applications},
	doi = {10.1142/S2010326314500051},
	issn = {2010-3263,2010-3271},
	number = {2},
	year = {2014},
	pages = {1450005, 37},
	title = {Universality of local eigenvalue statistics in random matrices with external source},
	url = {https://doi.org/10.1142/S2010326314500051},
	howpublished = {https://doi.org/10.1142/S2010326314500051},
	volume = {3},
}

Sean O’Rourke and Alexander Soshnikov. Partial linear eigenvalue statistics for Wigner and sample covariance random matrices. Journal of Theoretical Probability 28, 726–744 (2015). [arXiv:1301.0368] [BibTeX] [Journal] [MR3370673]

@article{MR3370673,
	author = {O'Rourke, Sean and Soshnikov, Alexander},
	journal = {Journal of Theoretical Probability},
	doi = {10.1007/s10959-013-0491-2},
	issn = {0894-9840,1572-9230},
	number = {2},
	year = {2015},
	pages = {726--744},
	title = {Partial linear eigenvalue statistics for {Wigner} and sample covariance random matrices},
	url = {https://doi.org/10.1007/s10959-013-0491-2},
	howpublished = {https://doi.org/10.1007/s10959-013-0491-2},
	volume = {28},
}

Hoi H. Nguyen and Sean O’Rourke. The elliptic law. International Mathematics Research Notices. IMRN 7620–7689 (2015). [arXiv:1208.5883] [BibTeX] [Journal] [MR3403996]

@article{MR3403996,
	author = {Nguyen, Hoi H. and O'Rourke, Sean},
	journal = {International Mathematics Research Notices. IMRN},
	doi = {10.1093/imrn/rnu174},
	issn = {1073-7928,1687-0247},
	number = {17},
	year = {2015},
	pages = {7620--7689},
	title = {The elliptic law},
	url = {https://doi.org/10.1093/imrn/rnu174},
	howpublished = {https://doi.org/10.1093/imrn/rnu174},
}

Sean O’Rourke. A note on the Marchenko-Pastur law for a class of random matrices with dependent entries. Electronic Communications in Probability 17, nos. 28, 13 (2012). [arXiv:1201.3554] [BibTeX] [Journal] [MR2955493]

@article{MR2955493,
	author = {O'Rourke, Sean},
	journal = {Electronic Communications in Probability},
	doi = {10.1214/ECP.v17-2020},
	issn = {1083-589X},
	year = {2012},
	pages = {no. 28, 13},
	title = {A note on the {Marchenko}-{Pastur} law for a class of random matrices with dependent entries},
	url = {https://doi.org/10.1214/ECP.v17-2020},
	howpublished = {https://doi.org/10.1214/ECP.v17-2020},
	volume = {17},
}

Sean O’Rourke. Fluctuations of matrix entries of analytic functions of non-Hermitian random matrices. Random Matrices. Theory and Applications 1, 1250008, 22 (2012). [arXiv:1110.4323] [BibTeX] [Journal] [MR2967967]

@article{MR2967967,
	author = {O'Rourke, Sean},
	journal = {Random Matrices. Theory and Applications},
	doi = {10.1142/S2010326312500086},
	issn = {2010-3263,2010-3271},
	number = {3},
	year = {2012},
	pages = {1250008, 22},
	title = {Fluctuations of matrix entries of analytic functions of non-{Hermitian} random matrices},
	url = {https://doi.org/10.1142/S2010326312500086},
	howpublished = {https://doi.org/10.1142/S2010326312500086},
	volume = {1},
}

S. O’Rourke, D. Renfrew and A. Soshnikov. Fluctuations of matrix entries of regular functions of sample covariance random matrices. Theory of Probability and its Applications 58, 615–639 (2014). [arXiv:1106.0320] [BibTeX] [Journal] [MR3403019]

@article{MR3403019,
	author = {O'Rourke, S. and Renfrew, D. and Soshnikov, A.},
	journal = {Theory of Probability and its Applications},
	doi = {10.1137/S0040585X97986801},
	issn = {0040-585X,1095-7219},
	number = {4},
	year = {2014},
	pages = {615--639},
	title = {Fluctuations of matrix entries of regular functions of sample covariance random matrices},
	url = {https://doi.org/10.1137/S0040585X97986801},
	howpublished = {https://doi.org/10.1137/S0040585X97986801},
	volume = {58},
}

Sean O’Rourke, David Renfrew and Alexander Soshnikov. On fluctuations of matrix entries of regular functions of Wigner matrices with non-identically distributed entries. Journal of Theoretical Probability 26, 750–780 (2013). [arXiv:1104.1663] [BibTeX] [Journal] [MR3090549]

@article{MR3090549,
	author = {O'Rourke, Sean and Renfrew, David and Soshnikov, Alexander},
	journal = {Journal of Theoretical Probability},
	doi = {10.1007/s10959-011-0396-x},
	issn = {0894-9840,1572-9230},
	number = {3},
	year = {2013},
	pages = {750--780},
	title = {On fluctuations of matrix entries of regular functions of {Wigner} matrices with non-identically distributed entries},
	url = {https://doi.org/10.1007/s10959-011-0396-x},
	howpublished = {https://doi.org/10.1007/s10959-011-0396-x},
	volume = {26},
}

Sean O’Rourke and Alexander Soshnikov. Products of independent non-Hermitian random matrices. Electronic Journal of Probability 16, nos. 81, 2219–2245 (2011). [arXiv:1012.4497] [BibTeX] [Journal] [MR2861673]

@article{MR2861673,
	author = {O'Rourke, Sean and Soshnikov, Alexander},
	journal = {Electronic Journal of Probability},
	doi = {10.1214/EJP.v16-954},
	issn = {1083-6489},
	year = {2011},
	pages = {no. 81, 2219--2245},
	title = {Products of independent non-{Hermitian} random matrices},
	url = {https://doi.org/10.1214/EJP.v16-954},
	howpublished = {https://doi.org/10.1214/EJP.v16-954},
	volume = {16},
}

P. Dueck, S. O’Rourke, D. Renfrew and A. Soshnikov. Spectral properties of large random matrices with independent entries. in Noncommutative harmonic analysis with applications to probability III vol. 96 115–134 (Polish Acad. Sci. Inst. Math., Warsaw, 2012). [BibTeX] [Journal] [MR2986822] [PDF]

@inbook{MR2986822,
	author = {Dueck, P. and O'Rourke, S. and Renfrew, D. and Soshnikov, A.},
	series = {Banach {Center} {Publ}.},
	booktitle = {Noncommutative harmonic analysis with applications to probability {III}},
	doi = {10.4064/bc96-0-7},
	isbn = {978-83-86806-15-7},
	year = {2012},
	pages = {115--134},
	publisher = {Polish Acad. Sci. Inst. Math., Warsaw},
	title = {Spectral properties of large random matrices with independent entries},
	url = {https://doi.org/10.4064/bc96-0-7},
	volume = {96},
}

Sean O’Rourke. Gaussian fluctuations of eigenvalues in Wigner random matrices. Journal of Statistical Physics 138, 1045–1066 (2010). [arXiv:0909.2677] [BibTeX] [Journal] [MR2601422]

@article{MR2601422,
	author = {O'Rourke, Sean},
	journal = {Journal of Statistical Physics},
	doi = {10.1007/s10955-009-9906-y},
	issn = {0022-4715,1572-9613},
	number = {6},
	year = {2010},
	pages = {1045--1066},
	title = {Gaussian fluctuations of eigenvalues in {Wigner} random matrices},
	url = {https://doi.org/10.1007/s10955-009-9906-y},
	howpublished = {https://doi.org/10.1007/s10955-009-9906-y},
	volume = {138},
}

Thesis

Sean D. O’Rourke. Spectral Properties of Random Matrices with Independent Entries. 98 (ProQuest LLC, Ann Arbor, MI, 2011). [BibTeX] [MR2949680]

@book{MR2949680,
	author = {O'Rourke, Sean D.},
	isbn = {978-1124-90895-3},
	year = {2011},
	note = {Thesis (Ph.D.)--University of California, Davis},
	pages = {98},
	publisher = {ProQuest LLC, Ann Arbor, MI},
	title = {Spectral {Properties} of {Random} {Matrices} with {Independent} {Entries}},
	url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3474503},
}