Published March 28, 2003
| Version v1
Journal article
Random unistochastic matrices
Creators
- 1. Centrum Fizyki Teoretycznej, Polska Akademia Nauk, Al. Lotnikow 32/44, 02-668 Warsaw (Poland)
- 2. Instytut Matematyki, Uniwersytet Jagiellonski, ul. Reymonta 4, 30-059 Cracow (Poland)
- 3. Fachbereich 7 Physik, Universitaet Essen, 45117 Essen (Germany)
Description
An ensemble of random unistochastic (orthostochastic) matrices is defined by taking squared moduli of elements of random unitary (orthogonal) matrices distributed according to the Haar measure on U(N) (or O(N)). An ensemble of symmetric unistochastic matrices is obtained with use of unitary symmetric matrices pertaining to the circular orthogonal ensemble. We study the distribution of complex eigenvalues of bistochastic, unistochastic and orthostochastic matrices in the complex plane. We compute averages (entropy, traces) over the ensembles of unistochastic matrices and present inequalities concerning the entropies of products of bistochastic matrices
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/36/3425/a31233.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/0305-4470/36/3425/a31233.pdf; http://www.iop.org/;
- PII
- S0305-4470(03)38433-1;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 36
- Journal Issue
- 12
- Journal Page Range
- p. 3425-3450
- ISSN
- 0305-4470
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 34042217
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CHAOS THEORY; EIGENVALUES; MATHEMATICAL LOGIC; MATRICES; MEASURE THEORY; RANDOMNESS; STOCHASTIC PROCESSES
- Descriptors DEC
- MATHEMATICS