Osaka Journal of Mathematics
- Osaka J. Math.
- Volume 53, Number 1 (2016), 141-161.
Central limit theorem for moments of spectral measures of Wigner matrices
Spectral measures of Wigner matrices are investigated. The Wigner semicircle law for spectral measures is proved. Regard this as the law of large number, the central limit theorem moments of spectral measures is also derived. The proof is based on moment method and combinatorial method.
Osaka J. Math., Volume 53, Number 1 (2016), 141-161.
First available in Project Euclid: 19 February 2016
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Duy, Trinh Khanh. Central limit theorem for moments of spectral measures of Wigner matrices. Osaka J. Math. 53 (2016), no. 1, 141--161. https://projecteuclid.org/euclid.ojm/1455892629