Coulumb Fluid, Painlevé Transcendents, and the Information Theory of MIMO Systems
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Publication:5271825
DOI10.1109/TIT.2012.2195154zbMath1365.94138MaRDI QIDQ5271825
Publication date: 12 July 2017
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Related Items (33)
Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues ⋮ Center of mass distribution of the Jacobi unitary ensembles: Painlevé V, asymptotic expansions ⋮ The Hankel determinant associated with a singularly perturbed Laguerre unitary ensemble ⋮ On a distinguished family of random variables and Painlevé equations ⋮ Critical edge behavior in the perturbed Laguerre unitary ensemble and the Painlevé V transcendent ⋮ Extreme eigenvalue distributions of Jacobi ensembles: new exact representations, asymptotics and finite size corrections ⋮ Hankel determinants for a Gaussian weight with Fisher–Hartwig singularities and generalized Painlevé IV equation ⋮ Painlevé V, Painlevé XXXIV and the degenerate Laguerre unitary ensemble ⋮ The recurrence coefficients of a semi-classical Laguerre polynomials and the large n asymptotics of the associated Hankel determinant ⋮ On the distribution of an arbitrary subset of the eigenvalues for some finite dimensional random matrices ⋮ Painlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensemble ⋮ Hankel determinant and orthogonal polynomials for a perturbed Gaussian weight: From finite n to large n asymptotics ⋮ Asymptotic gap probability distributions of the Gaussian unitary ensembles and Jacobi unitary ensembles ⋮ Single-user MIMO system, Painlevé transcendents, and double scaling ⋮ Character expansion of matrix integrals ⋮ Exceptional solutions to the Painlevé VI equation associated with the generalized Jacobi weight ⋮ Linear systems, Hankel products and the sinh-Gordon equation ⋮ The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight ⋮ Continuous and discrete Painlevé equations arising from the gap probability distribution of the finite \(n\) Gaussian unitary ensembles ⋮ The relationship between semiclassical Laguerre polynomials and the fourth Painlevé equation ⋮ Linear statistics of random matrix ensembles at the spectrum edge associated with the Airy kernel ⋮ Random matrix models, double-time Painlevé equations, and wireless relaying ⋮ Painlevé III' and the Hankel determinant generated by a singularly perturbed Gaussian weight ⋮ The smallest eigenvalue of large Hankel matrices associated with a singularly perturbed Gaussian weight ⋮ On properties of a deformed Freud weight ⋮ Perturbed Laguerre unitary ensembles, Hankel determinants, and information theory ⋮ Perturbed Hankel determinant, correlation functions and Painlevé equations ⋮ Extremal correlators and random matrix theory ⋮ Orthogonal polynomials, asymptotics, and Heun equations ⋮ Asymptotic linear spectral statistics for spiked Hermitian random matrices ⋮ Asymptotics of determinants of Hankel matrices via non-linear difference equations ⋮ The smallest eigenvalue of large Hankel matrices ⋮ Singular linear statistics of the Laguerre unitary ensemble and Painlevé. III. Double scaling analysis
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