Scaled limit and rate of convergence for the largest eigenvalue from the generalized Cauchy random matrix ensemble
From MaRDI portal
Publication:1047149
DOI10.1007/s10955-009-9854-6zbMath1181.82027arXiv0901.4800OpenAlexW3103396328MaRDI QIDQ1047149
Ashkan Nikeghbali, Felix Rubin, Joseph Najnudel
Publication date: 4 January 2010
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0901.4800
Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)
Related Items (3)
Sum rules and large deviations for spectral measures on the unit circle ⋮ Ewens Measures on Compact Groups and Hypergeometric Kernels ⋮ Moments of generalized Cauchy random matrices and continuous-Hahn polynomials
Cites Work
- Unnamed Item
- The largest eigenvalue of small rank perturbations of Hermitian random matrices
- A rate of convergence result for the largest eigenvalue of complex white Wishart matrices
- Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
- A method of integration over matrix variables. III
- On the universality of the level spacing distribution for some ensembles of random matrices
- Level-spacing distributions and the Airy kernel
- Level spacing distributions and the Bessel kernel
- Fredholm determinants, differential equations and matrix models
- Classical skew orthogonal polynomials and random matrices
- Universality at the edge of the spectrum in Wigner random matrices.
- On the distribution of the largest eigenvalue in principal components analysis
- The characteristic polynomial on compact groups with Haar measure: Some equalities in law
- Edgeworth expansion of the largest eigenvalue distribution function of GUE and LUE
- Random matrix theory and the sixth Painlevé equation
- Asymptotic corrections to the eigenvalue density of the GUE and LUE
- Circular Jacobi Ensembles and Deformed Verblunsky Coefficients
- Painlevé Classification of a Class of Differential Equations of the Second Order and Second Degree
- Gap probabilities in the finite and scaled Cauchy random matrix ensembles
- Fredholm determinants, Jimbo‐Miwa‐Ueno τ‐functions, and representation theory
- Application of theτ-function theory of Painlevé equations to random matrices:PVI, the JUE, CyUE, cJUE and scaled limits
- Poisson Statistics for the Largest Eigenvalues in Random Matrix Ensembles
- Infinite random matrices and ergodic measures
This page was built for publication: Scaled limit and rate of convergence for the largest eigenvalue from the generalized Cauchy random matrix ensemble