Articles

OPERATOR-VALUED FREE FISHER INFORMATION OF RANDOM MATRICES

  • MENG Bin
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  • Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received date: 2007-12-13

  Revised date: 2008-09-21

  Online published: 2010-07-20

Supported by

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

Abstract

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.

Cite this article

MENG Bin . OPERATOR-VALUED FREE FISHER INFORMATION OF RANDOM MATRICES[J]. Acta mathematica scientia, Series B, 2010 , 30(4) : 1327 -1337 . DOI: 10.1016/S0252-9602(10)60128-2

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