Central Limit Theorems for Linear Statistics of Heavy Tailed Random Matrices

We show central limit theorems (CLT) for the linear statistics of symmetric matrices with independent heavy tailed entries, including entries in the domain of attraction of α-stable laws and entries with moments exploding with the dimension, as in the adjacency matrices of Erdös-Rényi graphs. For th...

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Bibliographic Details
Main Authors: Benaych-Georges, Florent, Guionnet, Alice, Male, Camille
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Springer-Verlag Berlin Heidelberg 2015
Online Access:http://hdl.handle.net/1721.1/92885
https://orcid.org/0000-0003-4524-8627

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