2007年
On dualistic structure involving Shannon transform and integrated R-transform
2007 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS, VOLS 1-7
- 開始ページ
- 1651
- 終了ページ
- 1654
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1109/ISIT.2007.4557142
- 出版者・発行元
- IEEE
We consider a problem of evaluating average of a certain scalar function involving a random matrix in the large-dimension limit, the solution of which is given in terms of the integrated R-tranform of the limiting eigenvalue distribution of the random matrix. This problem therefore serves as an example in which not the functional form but the values of the R-transform plays a significant role, which can be regarded as making this problem unique in the context of application of random matrix and free probability theories. We furthermore discuss a dualistic structure with Legendre transformation involving the Shannon transform and the integrated R-transform, which underlies the problem.
- リンク情報
- ID情報
-
- DOI : 10.1109/ISIT.2007.4557142
- Web of Science ID : WOS:000257010201162