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Concentration of the Spectral Measure for Large Random Matrices with Stable Entries


 
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1. Title Title of document Concentration of the Spectral Measure for Large Random Matrices with Stable Entries
 
2. Creator Author's name, affiliation, country Christian Houdré; School of Mathematics, Georgia Tech.
 
2. Creator Author's name, affiliation, country Hua Xu; School of Mathematics, Georgia Tech.
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Spectral Measure, Random Matrices, Infinitely divisibility, Stable Vector, Concentration.
 
3. Subject Subject classification 60E07, 60F10, 15A42, 15A52
 
4. Description Abstract We derive concentration inequalities for functions of the empirical measure of large random matrices with infinitely divisible entries, in particular, stable or heavy tails ones. We also give concentration results for some other functionals of these random matrices, such as the largest eigenvalue or the largest singular value.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) NSF DMS-0112069
 
7. Date (YYYY-MM-DD) 2008-01-30
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/482
 
10. Identifier Digital Object Identifier 10.1214/EJP.v13-482
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 13
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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