Outlier eigenvalue fluctuations of perturbed iid matrices

Anand Bharathwaj Rajagopalan

Type: Preprint

Publication Date: 2015-01-01

Citations: 8

DOI: https://doi.org/10.48550/arxiv.1507.01441

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Erratum to: Outliers in the spectrum of iid matrices with bounded rank perturbations	2013	Terence Tao
+ PDF Chat	Finite rank perturbation of non-Hermitian random matrices: heavy tail and sparse regimes	2024	Yi Han
+	Outliers in the spectrum of iid matrices with bounded rank perturbations	2010	Terence Tao
+ PDF Chat	Outliers in the spectrum of iid matrices with bounded rank perturbations	2011	Terence Tao
+ PDF Chat	Outliers and bounded rank perturbation for non-Hermitian random band matrices	2024	Yi Han
+	Mesoscopic Perturbations of Large Random Matrices	2014	Jiaoyang Huang
+	Outlier eigenvalues for deformed i.i.d. random matrices	2014	Charles Bordenave Mireille Capitaine
+	Outlier eigenvalues for deformed i.i.d. random matrices	2014	Charles Bordenave Mireille Capitaine
+	Low rank perturbations of large elliptic random matrices	2013	Sean O’Rourke David Renfrew
+	Outliers in the spectrum for products of independent random matrices	2017	Natalie Coston Sean O’Rourke Philip Matchett Wood
+	Outliers in the spectrum for products of independent random matrices	2017	Natalie Coston Sean O’Rourke Philip Matchett Wood
+ PDF Chat	Outliers of random perturbations of Toeplitz matrices with finite symbols	2020	Anirban Basak Ofer Zeitouni
+	Low rank perturbations of large elliptic random matrices	2013	Sean O’Rourke David Renfrew
+ PDF Chat	Eigenvalues and eigenvectors of large matrices under random perturbations	2018	Alkéos Michaïl
+ PDF Chat	Outliers of perturbations of banded Toeplitz matrices	2024	Charles Bordenave François Chapon Mireille Capitaine
+ PDF Chat	Outlier Eigenvalues for Deformed I.I.D. Random Matrices	2016	Charles Bordenave Mireille Capitaine
+	Signal-plus-noise matrix models: eigenvector deviations and fluctuations	2018	Joshua Cape Minh Tang Carey E. Priebe
+	Signal-plus-noise matrix models: eigenvector deviations and fluctuations	2018	Joshua Cape Minh Tang Carey E. Priebe
+	Perturbations of Jordan Matrices	2006	E. B. Davies Mildred Hager
+ PDF Chat	Signal-plus-noise matrix models: eigenvector deviations and fluctuations	2018	Joshua Cape Minh Tang Carey E. Priebe

Works That Cite This (8)

Action	Title	Year	Authors
+	Tackling small eigen-gaps: Fine-grained eigenvector estimation and inference under heteroscedastic noise	2020	Cheng Chen Yuting Wei Yuxin Chen
+	Asymmetry Helps: Eigenvalue and Eigenvector Analyses of Asymmetrically Perturbed Low-Rank Matrices	2018	Yuxin Chen Cheng Chen Jianqing Fan
+ PDF Chat	Outliers in spectrum of sparse Wigner matrices	2020	Konstantin Tikhomirov Pierre Youssef
+	Outliers in spectrum of sparse Wigner matrices	2019	Konstantin Tikhomirov Pierre Youssef
+ PDF Chat	Fluctuation of Matrix Entries and Application to Outliers of Elliptic Matrices	2017	Florent Benaych-Georges Guillaume Cébron Jean Rochet
+	Spectra of nearly Hermitian random matrices	2015	Sean O’Rourke Philip Matchett Wood
+	Outliers in the spectrum for products of independent random matrices	2017	Natalie Coston Sean O’Rourke Philip Matchett Wood
+ PDF Chat	Tackling Small Eigen-Gaps: Fine-Grained Eigenvector Estimation and Inference Under Heteroscedastic Noise	2021	Cheng Chen Yuting Wei Yuxin Chen

Works Cited by This (20)

Action	Title	Year	Authors
+	An Introduction to Probability	2008	Lawrence N. Dworsky
+	Outlier eigenvalues for deformed i.i.d. random matrices	2014	Charles Bordenave Mireille Capitaine
+ PDF Chat	Spectral Analysis of Large Dimensional Random Matrices	2009	Zhidong Bai Jack W. Silverstein
+ PDF Chat	On finite rank deformations of Wigner matrices	2013	Alessandro Pizzo David Renfrew Alexander Soshnikov
+ PDF Chat	Outliers in the spectrum of iid matrices with bounded rank perturbations	2011	Terence Tao
+ PDF Chat	On the Lidskii--Vishik--Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure	1997	Julio Moro James V. Burke Michael L. Overton
+	Characteristic Vectors of Bordered Matrices with Infinite Dimensions II	1993	E. P. Wigner
+	The outliers of a deformed Wigner matrix	2014	Antti Knowles Jun Yin
+	DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES	1967	V A Marčenko L. А. Pastur
+ PDF Chat	Random matrices: Universality of ESDs and the circular law	2010	Terence Tao Van Vu Manjunath Krishnapur