Single-user MIMO system, Painlevé transcendents, and double scaling
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Publication:4600254
DOI10.1063/1.5017127zbMath1421.94027arXiv1711.09372OpenAlexW2769126038MaRDI QIDQ4600254
Min Chen, Gordon Blower, Yang Chen, Hongmei Chen
Publication date: 8 January 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.09372
Groups and algebras in quantum theory and relations with integrable systems (81R12) Channel models (including quantum) in information and communication theory (94A40) Coding theorems (Shannon theory) (94A24)
Related Items (4)
Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues ⋮ Critical edge behavior in the perturbed Laguerre unitary ensemble and the Painlevé V transcendent ⋮ A constructive proof for the Umemura polynomials of the third Painlevé equation ⋮ Painlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensemble
Uses Software
Cites Work
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- Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble
- Monodromy problem and the boundary condition for some Painlevé equations
- Differential equations for deformed Laguerre polynomials
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- On the \(\tau \)-function of the Painlevé equations
- Spectral functions, special functions and the Selberg zeta function
- Level spacing distributions and the Bessel kernel
- Fredholm determinants, differential equations and matrix models
- Random unitary matrices, permutations and Painlevé
- Special polynomials associated with rational solutions of the fifth Painlevé equation
- Painlevé differential equations in the complex plane
- On the Umemura polynomials for the Painlevé III equation
- Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I.
- Asymptotic linear spectral statistics for spiked Hermitian random matrices
- UNITARY MATRIX MODELS AND PAINLEVÉ III
- Perturbed Laguerre unitary ensembles, Hankel determinants, and information theory
- Perturbed Hankel determinant, correlation functions and Painlevé equations
- On an Average over the Gaussian Unitary Ensemble
- Statistical Theory of the Energy Levels of Complex Systems. I
- General Capacity Bounds for Spatially Correlated Rician MIMO Channels
- Capacity of mimo systems with semicorrelated flat fading
- A New Approach for Mutual Information Analysis of Large Dimensional Multi-Antenna Channels
- On the linear statistics of Hermitian random matrices
- Thermodynamic relations of the Hermitian matrix ensembles
- Bäcklund Transformations and Solution Hierarchies for the Third Painlevé Equation
- The third Painlev equation and associated special polynomials
- Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels
- Calculation of some determinants using thes-shifted factorial
- Classical solutions of the third Painlevé equation
- Singular linear statistics of the Laguerre unitary ensemble and Painlevé. III. Double scaling analysis
- Coulumb Fluid, Painlevé Transcendents, and the Information Theory of MIMO Systems
- Living at the Edge: A Large Deviations Approach to the Outage MIMO Capacity
- Random matrix models, double-time Painlevé equations, and wireless relaying
- THE DISTRIBUTION OF THE FIRST EIGENVALUE SPACING AT THE HARD EDGE OF THE LAGUERRE UNITARY ENSEMBLE
- Boundary conditions associated with the Painlevé III′ and V evaluations of some random matrix averages
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