Eigenvector distribution in the critical regime of BBP transition

Zhigang Bao, Dong Wang

Type: Article

Publication Date: 2021-05-31

Citations: 8

DOI: https://doi.org/10.1007/s00440-021-01062-4

View Publication

Download PDF

Locations

Probability Theory and Related Fields - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Eigenvector distribution in the critical regime of BBP transition	2020	Zhigang Bao Dong Wang
+	Spectral statistics for product matrix ensembles of Hermite type with external source	2017	Dang-Zheng Liu
+	PDE's for the Gaussian ensemble with external source and the Pearcey distribution	2005	Mark Adler Pierre van Moerbeke
+	Gaussian matrix model in an external field and non-intersecting Brownian motions	2008	Nicolas Orantin
+ PDF Chat	Phase transitions in the ASEP and stochastic six-vertex model	2019	Amol Aggarwal Alexei Borodin
+ PDF Chat	Fluctuations of the largest eigenvalues of transformed spiked Wigner matrices	2025	A. Y. Lee Ji Oon Lee
+ PDF Chat	PDEs for the Gaussian ensemble with external source and the Pearcey distribution	2006	Mark Adler Pierre van Moerbeke
+	Phase Transitions in the ASEP and Stochastic Six-Vertex Model	2016	Amol Aggarwal Alexei Borodin
+	Spectra of random Hermitian matrices with a small-rank external source: supercritical and subcritical regimes	2010	Marco Bertola Robert Buckingham Seung‐Yeop Lee Virgil U. Pierce
+ PDF Chat	Singular Values for Products of Complex Ginibre Matrices with a Source: Hard Edge Limit and Phase Transition	2015	Peter J. Forrester Dang-Zheng Liu
+ PDF Chat	Spectra of Random Hermitian Matrices with a Small-Rank External Source: The Critical and Near-Critical Regimes	2011	Marco Bertola Robert Buckingham S. Y. Lee Virgil U. Pierce
+ PDF Chat	Random Matrix Theory and the Anderson Model	2004	Jean Bellissard
+	Phase Transitions in the ASEP and Stochastic Six-Vertex Model	2016	Amol Aggarwal Alexei Borodin
+ PDF Chat	Limiting Eigenvectors of Outliers for Spiked Information-Plus-Noise Type Matrices	2018	Mireille Capitaine
+	Asymptotic Eigenvalue Distribution of Random Matrix with Non-identical Variance Components	2011	Takashi Shinzato
+	Random matrix theory and integrable systems	2015	Pierre van Moerbeke
+ PDF Chat	Singular Values for Products of Two Coupled Random Matrices: Hard Edge Phase Transition	2017	Dang-Zheng Liu
+ PDF Chat	High Dimensional Normality of Noisy Eigenvectors	2022	Jake Marcinek Horng‐Tzer Yau
+	Growth Processes in Random Matrix Theory	2006	Kurt Johansson
+	Spiked multiplicative random matrices and principal components	2023	Xiucai Ding Hong Chang Ji

Works That Cite This (9)

Action	Title	Year	Authors
+ PDF Chat	Rank 1 perturbations in random matrix theory — A review of exact results	2023	Peter J. Forrester
+ PDF Chat	The Eigenvectors of Single-Spiked Complex Wishart Matrices: Finite and Asymptotic Analyses	2022	Prathapasinghe Dharmawansa Pasan Dissanayake Yang Chen
+ PDF Chat	Matrices With Gaussian Noise: Optimal Estimates for Singular Subspace Perturbation	2023	Sean O’Rourke Van Vu Ke Wang
+	Spiked multiplicative random matrices and principal components	2023	Xiucai Ding Hong Chang Ji
+ PDF Chat	Long random matrices and tensor unfolding	2023	Gérard Ben Arous Daniel Zhengyu Huang Jiaoyang Huang
+	Random matrix theory: Local laws and applications	2024	Zhigang Bao Yukun He Fan Yang
+ PDF Chat	Statistical inference for principal components of spiked covariance matrices	2022	Zhigang Bao Xiucai Ding Jingming Wang Ke Wang
+	Long Random Matrices and Tensor Unfolding	2021	Gérard Ben Arous Daniel Zhengyu Huang Jiaoyang Huang
+ PDF Chat	Extreme eigenvalues of log-concave ensemble	2025	Zhigang Bao Xiaocong Xu

Works Cited by This (56)

Action	Title	Year	Authors
+	Deviation Inequalities on Largest Eigenvalues	2007	Michel Ledoux
+ PDF Chat	The Eigenvector Moment Flow and Local Quantum Unique Ergodicity	2016	Paul Bourgade H. T. Yau
+	None	2002	Harold Widom
+	On sample eigenvalues in a generalized spiked population model	2011	Zhidong Bai Jianfeng Yao
+ PDF Chat	Determinantal Processes and Independence	2006	J. Hough Manjunath Krishnapur Yuval Peres Bálint Virág
+	The largest sample eigenvalue distribution in the rank 1 quaternionic spiked model of Wishart ensemble	2009	Dong Wang
+ PDF Chat	The Largest Eigenvalue of Real Symmetric, Hermitian and Hermitian Self-dual Random Matrix Models with Rank One External Source, Part I	2012	Dong Wang
+ PDF Chat	On finite rank deformations of Wigner matrices	2013	Alessandro Pizzo David Renfrew Alexander Soshnikov
+ PDF Chat	Rigidity of eigenvalues of generalized Wigner matrices	2011	László Erdős Horng‐Tzer Yau Jun Yin
+ PDF Chat	The Largest Eigenvalue of Rank One Deformation of Large Wigner Matrices	2007	Delphine Féral Sandrine Péché