Optimal soft edge scaling variables for the Gaussian and Laguerre even \(\beta\) ensembles
From MaRDI portal
Publication:1710205
DOI10.1016/j.nuclphysb.2018.12.006zbMath1405.60010arXiv1812.07750OpenAlexW2903953512MaRDI QIDQ1710205
Allan K. Trinh, Peter J. Forrester
Publication date: 15 January 2019
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.07750
Random matrices (probabilistic aspects) (60B20) Recurrences (11B37) Random matrices (algebraic aspects) (15B52) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)
Related Items
Consecutive level spacings in the chiral Gaussian unitary ensemble: from the hard and soft edge to the bulk, Extreme eigenvalue distributions of Jacobi ensembles: new exact representations, asymptotics and finite size corrections, The Bessel line ensemble, Computable structural formulas for the distribution of the \(\beta\)-Jacobi edge eigenvalues, Finite size corrections relating to distributions of the length of longest increasing subsequences, Asymptotic correlations with corrections for the circular Jacobi \(\beta\)-ensemble, Linear differential equations for the resolvents of the classical matrix ensembles, Recursion scheme for the largest $\beta$ -Wishart–Laguerre eigenvalue and Landauer conductance in quantum transport
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Beyond universality in random matrix theory
- A note on the expansion of the smallest eigenvalue distribution of the LUE at the hard edge
- Accuracy of the Tracy-Widom limits for the extreme eigenvalues in white Wishart matrices
- A Fuchsian matrix differential equation for Selberg correlation integrals
- Fast approach to the tracy-widom law at the edge of GOE and GUE
- A rate of convergence result for the largest eigenvalue of complex white Wishart matrices
- Hermite and Laguerre \(\beta\)-ensembles: asymptotic corrections to the eigenvalue density
- Multivariate analysis and Jacobi ensembles: largest eigenvalue, Tracy-Widom limits and rates of convergence
- The Calogero-Sutherland model and generalized classical polynomials
- Scale invariance of the PNG droplet and the Airy process
- On fluctuations of eigenvalues of random Hermitian matrices.
- Recurrence equations for the computation of correlations in the \(1/r^2\) quantum many-body system
- Global Asymptotics for the Christoffel-Darboux Kernel of Random Matrix Theory
- Finite N corrections to the limiting distribution of the smallest eigenvalue of Wishart complex matrices
- Universality of Wigner random matrices: a survey of recent results
- Moments of the Gaussian β ensembles and the large-N expansion of the densities
- Statistical Theory of the Energy Levels of Complex Systems. I
- Edgeworth expansion of the largest eigenvalue distribution function of GUE and LUE
- Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices
- Asymptotic corrections to the eigenvalue density of the GUE and LUE
- Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry
- Difference system for Selberg correlation integrals
- Zeroes of zeta functions and symmetry
- Functional form for the leading correction to the distribution of the largest eigenvalue in the GUE and LUE
- Large N expansions for the Laguerre and Jacobi β-ensembles from the loop equations
- Matrix models for beta ensembles
- Finite Size Effects for Spacing Distributions in Random Matrix Theory: Circular Ensembles and Riemann Zeros
- Finite-size corrections in random matrix theory and Odlyzko’s dataset for the Riemann zeros
- On the spacing distribution of the Riemann zeros: corrections to the asymptotic result
- Random matrix theory and \(\zeta(1/2+it)\).
