The Hermitian Jacobi process: a simplified formula for the moments and application to optical fiber MIMO channels
DOI10.1134/S0016266320040036zbMath1470.15032arXiv2006.11187OpenAlexW3168657166MaRDI QIDQ2038437
Nizar Demni, Tarek Hamdi, Abdessatar Souissi
Publication date: 7 July 2021
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.11187
Shannon capacityorthogonal projectionSchur polynomialsJacobi unitary ensembleunitary Brownian motionMIMO channelssymmetric Jacobi polynomials
Random matrices (probabilistic aspects) (60B20) Determinants, permanents, traces, other special matrix functions (15A15) Brownian motion (60J65) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Random matrices (algebraic aspects) (15B52)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multivariate Jacobi polynomials and the Selberg integral
- The spectral edge of unitary Brownian motion
- Advanced determinant calculus
- Moments of the Hermitian matrix Jacobi process
- A formula for polynomials with Hermitian matrix argument
- Product of random projections, Jacobi ensembles and universality problems arising from free probability
- Laguerre and Meixner Orthogonal Bases in the Algebra of Symmetric Functions
- The Jacobi MIMO Channel
- The jacobi inversion formula
- Inverse of the flow and moments of the free Jacobi process associated with one projection
- β-Jacobi processes
- Asymptotics of Selberg-like integrals: The unitary case and Newton's interpolation formula
