Central limit theorem for eigenvectors of heavy tailed matrices

We consider the eigenvectors of symmetric matrices with independent heavy tailed entries, such as matrices with entries in the domain of attraction of α-stable laws, or adjacencymatrices of Erdos-Renyi graphs. We denote by U=[uij] the eigenvectors matrix (corresponding to increasing eigenvalues) and...

Full description

Bibliographic Details
Main Authors: Benaych-Georges, Florent, Guionnet, Alice
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Institute of Mathematical Statistics 2014
Online Access:http://hdl.handle.net/1721.1/89525
https://orcid.org/0000-0003-4524-8627