Mixed Moments of Voiculescu's Gaussian Random Matrices

@inproceedings{Thorbjjrnsen1999MixedMO,
  title={Mixed Moments of Voiculescu's Gaussian Random Matrices},
  author={S Thorbjjrnsen},
  year={1999}
}
  • S Thorbjjrnsen
  • Published 1999
It is showed that the convergence of mixed moments of independent, selfadjoint, Gaus-sian random matrices, proved by Voiculescu, holds almost surely, and not only in the mean. This is used to obtain asymptotic lower (respectively upper) bounds on the maximum (respectively minimum) of the spectrum of S S, for Gaussian random matrices S with operator entries; in particular those studied in HT2]. Finally a new proof is presented of the result by S. Wassermann, that free group factors can be… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 19 references

Random Matrices and K-theory for Exact C -algebras

  • Ht, U Haagerup, S Thorbjjrnsen
  • Random Matrices and K-theory for Exact C…
  • 1998

Limit distributions of matrices with bosonic and fermionic entries

  • D Shlyakhtenko
  • Fields Institute Communications
  • 1997

On the eigenvalue distribution of some symmetric random matrices

  • Op, F Oravecz, D Petz
  • Acta Sci. Math. (szeged)
  • 1997

R-diagonal Pairs { a Common Approach to Haar Unitaries and Circular Elements

  • Ns A Nica, R Speicher
  • Fields Institute Communications
  • 1997

Exact C -algebras and Related Topics

  • S Wa, Wassermann
  • Seoul National University Lecture Notes Series
  • 1994

Classics In Applied Mathematics SIAM

  • L Breiman, Probability
  • Classics In Applied Mathematics SIAM
  • 1992

Free Random Variables, CRM Monographs Series

  • Vdn, D V Voiculescu, K J Dykema, A Nica
  • Free Random Variables, CRM Monographs Series
  • 1992

Limit laws for random matrices and free products

  • D V Vo, Voiculescu
  • Invent. Math
  • 1991

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