O'Rourke, Sean
- Matrices with Gaussian noise: optimal estimates for singular subspace perturbation
2018/03/02 by Sean O’Rourke, Van Vu, O'Rourke, Sean +3 · 6 citations
Mathematics · #Random Matrices and Applications #Point processes and geometric inequalities #Markov Chains and Monte Carlo Methods
- Random perturbation of low rank matrices: Improving classical bounds
2013/11/12 by Sean M. O’Rourke, Van Vu, O'Rourke, Sean +3 · 6 citations
Engineering · Mathematics · #Sparse and Compressive Sensing Techniques #Random Matrices and Applications #Tensor decomposition and applications
- On a conjecture of Godsil concerning controllable random graphs
2015/11/16 by O'Rourke, Sean, Touri, Behrouz · 3 citations
#FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR)
- Eigenvectors of random matrices: A survey
2016/01/14 by O'Rourke, Sean, Vu, Van, Wang, Ke · 2 citations
#Combinatorics (math.CO) #FOS: Mathematics #Probability (math.PR)
- Eigenvector Delocalization for Non-Hermitian Random Matrices and\n Applications
2018/09/30 by Kyle Luh, Luh, Kyle, Sean O’Rourke +1 · 2 citations
Mathematics · #15B52 #60B20 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #FOS: Mathematics #Probability (math.PR) #Random Matrices and Applications
- Central limit theorem for linear eigenvalue statistics of elliptic\n random matrices
2014/10/16 by Sean O’Rourke, O'Rourke, Sean, David Renfrew +1 · 1 citation
Decision Sciences · Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Probability and Risk Models #Random Matrices and Applications #Stochastic processes and statistical mechanics
- Low-degree factors of random polynomials
2016/08/05 by O'Rourke, Sean, Wood, Philip Matchett · 1 citation
#11C08 #15B52 #FOS: Mathematics #Number Theory (math.NT) #Probability (math.PR)
- Pairing between zeros and critical points of random polynomials with independent roots
2016/10/19 by O'Rourke, Sean, Williams, Noah · 1 citation
#FOS: Mathematics #Probability (math.PR)
- Random matrix products: Universality and least singular values
2018/02/08 by Kopel, Phil, O'Rourke, Sean, Vu, Van · 1 citation
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- A Nonlocal Transport Equation Modeling Complex Roots of Polynomials\n under Differentiation
2019/10/26 by Sean O’Rourke, Stefan Steinerberger, O'Rourke, Sean +1 · 1 citation
Mathematics · #Geometry and complex manifolds #Functional Equations Stability Results #Stochastic processes and statistical mechanics
- Quantitative results for banded Toeplitz matrices subject to random and deterministic perturbations
2021/06/09 by Sean O’Rourke, Philip Matchett Wood, O'Rourke, Sean +1 · 1 citation
Mathematics · #Random Matrices and Applications #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities
- Universality for roots of derivatives of entire functions via finite free probability
2024/10/08 by Andrew Campbell, Campbell, Andrew, Sean O’Rourke +3 · 2 citations
Mathematics · #Advanced Differential Equations and Dynamical Systems #Combinatorics (math.CO) #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #Probability (math.PR)
- The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation
2023/07/21 by Andrew Campbell, Sean O’Rourke, Campbell, Andrew +3 · 1 citation
Mathematics · #Random Matrices and Applications #Analytic Number Theory Research #Point processes and geometric inequalities
- Spectrum of Heavy-Tailed Elliptic Random Matrices
2020/10/03 by Campbell, Andrew, O'Rourke, Sean · 1 citation
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)