数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (4): 1327-1337.doi: 10.1016/S0252-9602(10)60128-2

• 论文 • 上一篇    下一篇

OPERATOR-VALUED FREE FISHER INFORMATION OF RANDOM MATRICES

孟彬   

  1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • 收稿日期:2007-12-13 修回日期:2008-09-21 出版日期:2010-07-20 发布日期:2010-07-20
  • 基金资助:

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

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)

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.

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

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

中图分类号: 

  • 46L54