OPERATOR-VALUED FREE FISHER INFORMATION OF RANDOM MATRICES

OPERATOR-VALUED FREE FISHER INFORMATION OF RANDOM MATRICES

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摘要 The free Fisher information of an operator random matrix is studied. When the covariance of a random matrix is a conditional expectation, the free Fisher information of such a matrix is the double of this conditional expectation’s Watatani index. The free Fisher information of an operator random matrix is studied. When the covariance of a random matrix is a conditional expectation, the free Fisher information of such a matrix is the double of this conditional expectation’s Watatani index.

作者孟彬

机构地区 Department of Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 2010年第4期1327-1337,共11页 数学物理学报（B辑英文版）

基金 Supported by NSFC (10771101) NVAA Research Funding (NS2010197)

关键词 Conjugate variable free Fisher information random matrix modular frame Conjugate variable free Fisher information random matrix modular frame

分类号 O211.67 [理学—概率论与数理统计]

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Acta Mathematica Scientia

2010年第4期

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OPERATOR-VALUED FREE FISHER INFORMATION OF RANDOM MATRICES

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