Published March 28, 2003
| Version v1
Journal article
Wishart and anti-Wishart random matrices
Creators
- 1. The Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen (Denmark)
- 2. M Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, 30-059 Cracow (Poland)
Description
We provide a compact exact representation for the distribution of the matrix elements of the Wishart-type random matrices A†A, for any finite number of rows and columns of A, without any large N approximations. In particular, we treat the case when the Wishart-type random matrix contains redundant, non-random information, which is a new result. This representation is of interest for a procedure for reconstructing the redundant information hidden in Wishart matrices, with potential applications to numerous models based on biological, social and artificial intelligence networks
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/36/3629/a31243.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/36/3629/a31243.pdf; http://www.iop.org/;
- PII
- S0305-4470(03)37473-6;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 36
- Journal Issue
- 12
- Journal Page Range
- p. 3629-3637
- ISSN
- 0305-4470
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 34042233
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- MATHEMATICAL LOGIC; MATRICES; MATRIX ELEMENTS; PROBABILITY; RANDOMNESS