Wigner random matrices with non-symmetrically distributed entries

@inproceedings{Pch2008WignerRM,
  title={Wigner random matrices with non-symmetrically distributed entries},
  author={Sandrine P{\'e}ch{\'e} and Alexander B. Soshnikov},
  year={2008}
}
We show that the spectral radius of an N × N random symmetric matrix with i.i.d. bounded centered but non-symmetrically distributed entries is bounded from above by 2σ + o(N), where σ is the variance of the matrix entries and ε is an arbitrary small positive number. Our bound improves the earlier results by Z.Füredi and J.Komlós (1981) , and Van Vu (2005). 1 Model We consider random symmetric matrices with i.i.d. centered but non-symmetrically distributed entries above the diagonal. To be more… CONTINUE READING
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