Norms of certain random matrices with dependent entries

Verfasser / Beitragende:
[Beat M. Niederhauser]
Ort, Verlag, Jahr:
2003
Enthalten in:
Random Operators and Stochastic Equations, 11/1(2003-03-01), 83-99
Format:
Artikel (online)
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100 1 |a Niederhauser  |D Beat M.  |u Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo, Brasil, email: beat@ime.usp.br 
245 1 0 |a Norms of certain random matrices with dependent entries  |h [Elektronische Daten]  |c [Beat M. Niederhauser] 
520 3 |a We consider certain random matrices with pairwise uncorrelated, but dependent entries, that do not belong to the Marchenko-Pastur ensemble (sample covariance matrices), and obtain bounds on their largest eigenvalue. The results show that the higher order correlations have a strong influence on the norm. While the proofs follow the well-known method of calculating the expectation of the trace of high powers of the matrices, the ensuing combinatorial problems are of a novel type. 
540 |a Copyright 2003, Walter de Gruyter 
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