keywords
- probability theory, random matrix theory, random polynomials
- Contact Info
O'Rourke, Sean Daniel
Positions
- Associate Professor, Mathematics
Research Areas
Research
Publications
selected publications
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conference proceeding
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Optimal Subspace Perturbation Bounds under Gaussian Noise.
2601-2606.
2023
- Littlewood-Offord Theory and Controllability of Random Structures. Proceedings of the ... IEEE Conference on Decision & Control / IEEE Control Systems Society. IEEE Conference on Decision & Control. 5195-5200. 2016
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Optimal Subspace Perturbation Bounds under Gaussian Noise.
2601-2606.
2023
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journal article
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Extreme eigenvalues of Laplacian random matrices with Gaussian entries.
Electronic Journal of Probability.
2025
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ON RANDOM POLYNOMIALS WITH AN INTERMEDIATE NUMBER OF REAL ROOTS.
Proceedings of the American Mathematical Society.
4933-4942.
2024
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SUMS OF RANDOM POLYNOMIALS WITH DIFFERING DEGREES.
Transactions of the American Mathematical Society.
3325-3355.
2024
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The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation.
International Mathematics Research Notices (IMRN).
10189-10218.
2024
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Matrices With Gaussian Noise: Optimal Estimates for Singular Subspace Perturbation.
IEEE Transactions on Information Theory.
1978-2002.
2024
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Spectrum of Levy-Khintchine Random Laplacian Matrices.
Journal of Theoretical Probability.
933-973.
2024
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Quantitative results for banded Toeplitz matrices subject to random and deterministic perturbations.
Linear Algebra and Its Applications.
50-126.
2023
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PARTIAL LINEAR EIGENVALUE STATISTICS FOR NON-HERMITIAN RANDOM MATRICES.
Theory of Probability and its Applications.
613-632.
2023
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Assortative mating biases marker-based heritability estimators (vol 13, pg 660, 2022).
Nature Communications.
2022
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Assortative mating biases marker-based heritability estimators.
Nature Communications.
2022
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Spectrum of heavy-tailed elliptic random matrices.
Electronic Journal of Probability.
1-56.
2022
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Circular law for random block band matrices with genuinely sublinear bandwidth.
Journal of Mathematical Physics.
2021
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A NONLOCAL TRANSPORT EQUATION MODELING COMPLEX ROOTS OF POLYNOMIALS UNDER DIFFERENTIATION.
Proceedings of the American Mathematical Society.
1581-1592.
2021
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Sums of random polynomials with independent roots.
Journal of Mathematical Analysis and Applications.
2021
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Eigenvectors and controllability of non-Hermitian random matrices and directed graphs.
Electronic Journal of Probability.
2021
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Gaussian Fluctuations for Linear Eigenvalue Statistics of Products of Independent iid Random Matrices.
Journal of Theoretical Probability.
1541-1612.
2020
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Eigenvector delocalization for non-Hermitian random matrices and applications.
Random structures & algorithms (Print).
169-210.
2020
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Outliers in the spectrum for products of independent random matrices.
Annales de l'institut Henri Poincare (B) Probability and Statistics.
1284-1320.
2020
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RANDOM MATRIX PRODUCTS: UNIVERSALITY AND LEAST SINGULAR VALUES.
Annals of Probability.
1372-1410.
2020
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On the local pairing behavior of critical points and roots of random polynomials.
Electronic Journal of Probability.
2020
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Low-Degree Factors of Random Polynomials.
Journal of Theoretical Probability.
1076-1104.
2019
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PAIRING BETWEEN ZEROS AND CRITICAL POINTS OF RANDOM POLYNOMIALS WITH INDEPENDENT ROOTS.
Transactions of the American Mathematical Society.
2343-2381.
2019
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Random perturbation of low rank matrices: Improving classical bounds.
Linear Algebra and Its Applications.
26-59.
2018
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Spectra of nearly Hermitian random matrices.
Annales de l'institut Henri Poincare (B) Probability and Statistics.
1241-1279.
2017
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Eigenvectors of random matrices: A survey.
Journal of combinatorial theory. Series A.
361-442.
2016
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Central Limit Theorem for Linear Eigenvalue Statistics of Elliptic Random Matrices.
Journal of Theoretical Probability.
1121-1191.
2016
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Critical Points of Random Polynomials and Characteristic Polynomials of Random Matrices.
International Mathematics Research Notices (IMRN).
5616-5651.
2016
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ON A CONJECTURE OF GODSIL CONCERNING CONTROLLABLE RANDOM GRAPHS.
SIAM Journal of Control and Optimization.
3347-3378.
2016
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Products of Independent Elliptic Random Matrices.
Journal of Statistical Physics.
89-119.
2015
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On the concentration of random multilinear forms and the universality of random block matrices.
Probability theory and related fields.
97-154.
2015
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Partial Linear Eigenvalue Statistics for Wigner and Sample Covariance Random Matrices.
Journal of Theoretical Probability.
726-744.
2015
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The Elliptic Law.
International Mathematics Research Notices (IMRN).
7620-7689.
2015
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Low rank perturbations of large elliptic random matrices.
Electronic Journal of Probability.
1-65.
2014
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Universality of local eigenvalue statistics in random matrices with external source.
Random Matrices: Theory and Application.
2014
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FLUCTUATIONS OF MATRIX ENTRIES OF REGULAR FUNCTIONS OF SAMPLE COVARIANCE RANDOM MATRICES.
Theory of Probability and its Applications.
615-639.
2014
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On Fluctuations of Matrix Entries of Regular Functions of Wigner Matrices with Non-identically Distributed Entries.
Journal of Theoretical Probability.
750-780.
2013
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A note on the Marchenko-Pastur law for a class of random matrices with dependent entries.
Electronic Communications in Probability.
2012
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Products of independent non-Hermitian random matrices.
Electronic Journal of Probability.
2219-2245.
2011
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Spectral properties of large random matrices with independent entries.
Banach Center Publications.
115-134.
2011
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Gaussian Fluctuations of Eigenvalues in Wigner Random Matrices.
Journal of Statistical Physics.
1045-1066.
2010
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Extreme eigenvalues of Laplacian random matrices with Gaussian entries.
Electronic Journal of Probability.
2025
Background
education and training
- Ph.D., University of California-Davis 2011
- M.A., University of California-Davis 2008
- B.S., California Polytechnic State Univ-San Luis Obispo 2006
awards and honors
International Activities
geographic focus
- http://dbpedia.org/page/Hong_Kong Geographic Region
- Austria Country
- Germany Country
- Mexico Country