Fetching the paper…
Reading the bibliography…
We study joint eigenvector distributions for large symmetric matrices in the presence of weak noise.
Characteristic vectors of bordered matrices infinite dimensions
E. Wigner · 1955
Earlier work this paper cites.
On the distribution of the roots of certain symmetric matrices
E. Wigner · 1958
Earlier work this paper cites.
A Brownian-motion model for the eigenvalues of a random matrix
F. J. Dyson · 1962
Earlier work this paper cites.
Upper bounds for symmetric markov transition functions
E. A. Carlen, S. Kusuoka, and D. W. Stroock · 1987
Earlier work this paper cites.
Wishart processes
M.-F. Bru · 1991
Earlier work this paper cites.
The behaviour of eigenstates of arithmetic hyperbolic manifolds
Z. Rudnick and P. Sarnak · 1994
Earlier work this paper cites.
On the free convolution with a semi-circular distribution
P. Biane · 1997
Earlier work this paper cites.
Moments and cumulants of polynomial random variables on unitary groups, the itzykson-zuber integral, and free probability
B. Collins · 2003
Earlier work this paper cites.
Random Matrices
M. Mehta · 2004
Earlier work this paper cites.
Bulk universality for wigner hermitian matrices with subexponential decay
L. Erdős, J. Ramírez, B. Schlein, T. Tao, V. Vu, and H.-T. Yau · 2009
Earlier work this paper cites.
Inverse Littlewood-Offord theorems and the condition number of random discrete matrices
T. Tao and V. Vu · 2009
Earlier work this paper cites.
Wegner estimate and level repulsion for wigner random matrices
L. Erdős, B. Schlein, and H.-T. Yau · 2010
Earlier work this paper cites.
Random matrices: Universality of local eigenvalue statistics
T. Tao and V. Vu · 2010
Earlier work this paper cites.
Smooth analysis of the condition number and the least singular value
T. Tao and V. Vu · 2010
Earlier work this paper cites.
Universality of random matrices and local relaxation flow
L. Erdős, B. Schlein, and H.-T. Yau · 2011
Earlier work this paper cites.
Random matrices: Universality of local eigenvalue statistics up to the edge
T. Tao and V. Vu · 2011
Earlier work this paper cites.
Spectral statistics of Erdős-Rényi graphs II: eigenvalue spacing and the extreme eigenvalues
L. Erdős, A. Knowles, H.-T. Yau, and J. Yin · 2012
Earlier work this paper cites.
The local relaxation flow approach to universality of the local statistics for random matrices
L. Erdős, B. Schlein, H.-T. Yau, and J. Yin · 2012
Earlier work this paper cites.
Bulk universality for generalized Wigner matrices
L. Erdös, H.-T. Yau, and J. Yin · 2012
Cited alongside, same era.
Random matrices: Universal properties of eigenvectors
T. Tao and V. Vu · 2012
Cited alongside, same era.
Rigidity of eigenvalues of generalized Wigner matrices
J. Yin, L. Erdős, and H.-T. Yau · 2012
Cited alongside, same era.
Localization and delocalization of eigenvectors for heavy-tailed random matrices
C. Bordenave and A. Guionnet · 2013
Cited alongside, same era.
The eigenvector moment flow and local quantum unique ergodicity
P. Bourgade and H.-T. Yau · 2013
Cited alongside, same era.
The local semicircle law for a general class of random matrices
L. Erdős, A. Knowles, H.-T. Yau, and J. Yin · 2013
Cited alongside, same era.
Eigenvector statistics of sparse random matrices
P. Bourgade, J. Huang, and H.-T. Yau · 2017
Later among the works it cites.
Local spectral statistics of the addition of random matrices
Z. Che and B. Landon · 2017
Later among the works it cites.
A dynamical approach to random matrix theory
L. Erdős and H.-T. Yau · 2017
Later among the works it cites.
Convergence of local statistics of Dyson Brownian motion
B. Landon and H.-T. Yau · 2017
Later among the works it cites.
GOE statistics for Lévy matrices
A. Aggarwal, P. Lopatto, and H.-T. Yau · 2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Eigenvector distribution of wigner matrices
A. Knowles and J. Yin · 2013
Cited alongside, same era.
Central limit theorem for eigenvectors of heavy tailed matrices
F. Benaych-Georges, A. Guionnet, et al · 2014
Cited alongside, same era.
Isotropic local laws for sample covariance and generalized wigner matrices
A. Bloemendal, L. Erdős, A. Knowles, H.-T. Yau, and J. Yin · 2014
Cited alongside, same era.
Fixed energy universality for generalized Wigner matrices
P. Bourgade, L. Erdős, H.-T. Yau, and J. Yin · 2015
Cited alongside, same era.
Gap universality of generalized Wigner and beta-ensembles
L. Erdős and H.-T. Yau · 2015
Cited alongside, same era.
Spectral statistics of sparse Erdős-Rényi graph laplacians
J. Huang and B. Landon · 2015
Cited alongside, same era.
P. Bourgade · 2018
Later among the works it cites.
The distribution of overlaps between eigenvectors of ginibre matrices
P. Bourgade and G. Dubach · 2018
Later among the works it cites.
Random band matrices in the delocalized phase, i: Quantum unique ergodicity and universality
P. Bourgade, H.-T. Yau, and J. Yin · 2018
Later among the works it cites.
Sparse general wigner-type matrices: Local law and eigenvector delocalization
I. Dumitriu and Y. Zhu · 2018
Later among the works it cites.
Local law and complete eigenvector delocalization for supercritical Erdős–Rényi graphs
Y. He, A. Knowles, and M. Marcozzi · 2018
Later among the works it cites.
Comparison theorem for some extremal eigenvalue statistics
B. Landon, P. Lopatto, and J. Marcinek · 2018
Later among the works it cites.
High-dimensional probability: An introduction with applications in data science
R. Vershynin · 2018
Later among the works it cites.
Random band matrices in the delocalized phase, iii: Averaging fluctuations
F. Yang and J. Yin · 2018
Later among the works it cites.
Fermionic eigenvector moment flow
L. Benigni · 2019
Later among the works it cites.
Random band matrices in the delocalized phase, ii: Generalized resolvent estimates
P. Bourgade, F. Yang, H.-T. Yau, and J. Yin · 2019
Later among the works it cites.
Universality of the least singular value for sparse random matrices
Z. Che and P. Lopatto · 2019
Later among the works it cites.
Eigenvector statistics of Lévy matrices
A. Aggarwal, P. Lopatto, and J. Marcinek · 2020
Closest in time.