Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (4): 1327-1337.doi: 10.1016/S0252-9602(10)60128-2

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OPERATOR-VALUED FREE FISHER INFORMATION OF RANDOM MATRICES

 MENG Bin   

  1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2007-12-13 Revised:2008-09-21 Online:2010-07-20 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.

Key words: Conjugate variable, free Fisher information, random matrix, modular frame

CLC Number: 

  • 46L54
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