Central limit theorem for moments of spectral measures of wigner matrices

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)141-160
Number of pages20
JournalOsaka Journal of Mathematics
Volume53
Issue number1
Publication statusPublished - 2016 Jan 1
Externally publishedYes

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Spectral Measure
Central limit theorem
Moment
Semicircle Law
Moment Method
Law of large numbers

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Central limit theorem for moments of spectral measures of wigner matrices. / Trinh, Khanh Duy.

In: Osaka Journal of Mathematics, Vol. 53, No. 1, 01.01.2016, p. 141-160.

Research output: Contribution to journalArticle

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