Universality limits in the bulk for varying measures
From MaRDI portal
Publication:947767
DOI10.1016/j.aim.2008.06.010zbMath1176.28014OpenAlexW2034987243MaRDI QIDQ947767
Publication date: 7 October 2008
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2008.06.010
Random matrices (algebraic aspects) (15B52) Other special orthogonal polynomials and functions (33C47) Set functions, measures and integrals with values in abstract spaces (28B99)
Related Items
Edge universality for orthogonal ensembles of random matrices ⋮ An update on local universality limits for correlation functions generated by unitary ensembles ⋮ Universality limits involving orthogonal polynomials on an arc of the unit circle ⋮ CHRISTOFFEL FUNCTIONS AND UNIVERSALITY LIMITS FOR ORTHOGONAL RATIONAL FUNCTIONS ⋮ On Christoffel Functions and Related Quantities for Compactly Supported Measures ⋮ Bulk universality holds in measure for compactly supported measures ⋮ A transportation approach to universality in random matrix theory ⋮ Universality for conditional measures of the sine point process ⋮ The Nevai condition and a local law of large numbers for orthogonal polynomial ensembles ⋮ Spacings in orthogonal and symplectic random matrix ensembles ⋮ Some recent methods for establishing universality limits ⋮ Orthogonal and symplectic matrix models: universality and other properties ⋮ An operator van der Corput estimate arising from oscillatory Riemann-Hilbert problems ⋮ Local limits for orthogonal polynomials for varying measures via universality ⋮ Mesoscopic fluctuations for unitary invariant ensembles ⋮ Bulk universality for Wigner matrices ⋮ Universality in several-matrix models via approximate transport maps ⋮ Local asymptotics for orthonormal polynomials on the unit circle via universality ⋮ Random matrices: universality of local eigenvalue statistics ⋮ Change of variables as a method to study general β-models: Bulk universality ⋮ Universality type limits for Bergman orthogonal polynomials ⋮ Bulk universality holds pointwise in the mean for compactly supported measures ⋮ Universality in the bulk holds close to given points ⋮ Bulk universality for deformed Wigner matrices ⋮ Stability of asymptotics of Christoffel-Darboux kernels ⋮ Universality limits in the bulk for arbitrary measures on compact sets ⋮ Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation. I ⋮ Riemann-Hilbert theory without local parametrix problems: applications to orthogonal polynomials ⋮ Universality limits for random matrices and de Branges spaces of entire functions ⋮ Local asymptotics for orthonormal polynomials in the interior of the support via universality ⋮ Bounds on orthogonal polynomials and separation of their zeros ⋮ Universality limits for entire functions ⋮ Variance of real zeros of random orthogonal polynomials for varying and exponential weights ⋮ DISCRETE CIRCULAR BETA ENSEMBLES ⋮ Asymptotic behavior of the Verblunsky coefficients for the OPUC with a varying weight ⋮ Transport maps for \(\beta\)-matrix models and universality
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new approach to universality limits involving orthogonal polynomials
- The Pearcey process
- Strong asymptotics of Laguerre-type orthogonal polynomials and applications in random matrix theory
- Hermite and Laguerre \(\beta\)-ensembles: asymptotic corrections to the eigenvalue density
- Large \(n\) limit of Gaussian random matrices with external source. III: Double scaling limit
- Universality limits involving orthogonal polynomials on the unit circle
- Two extensions of Lubinsky's universality theorem
- Universality limits in the bulk for arbitrary measures on compact sets
- Universality and fine zero spacing on general sets
- Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles
- Determinants of Airy operators and applications to random matrices
- Universality for eigenvalue correlations at the origin of the spectrum
- Asymptotics for Christoffel functions for general measures on the real line
- Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
- Asymptotics for Christoffel functions with varying weights
- Universality limits for exponential weights
- From random matrices to quasi-periodic Jacobi matrices via orthogonal polynomials
- Multi-critical unitary random matrix ensembles and the general Painlevé II equation
- Applications of universality limits to zeros and reproducing kernels of orthogonal polynomials
- A class of orthogonal polynomials
- Asymptotics of the partition function of a random matrix model.
- Large \(n\) limit of Gaussian random matrices with external source. II
- Metric properties of harmonic measures
- Universality of the double scaling limit in random matrix models
- The Formula steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights
- Asymptotic corrections to the eigenvalue density of the GUE and LUE
- Integrable Systems and Random Matrices
- Critical Edge Behavior in Unitary Random Matrix Ensembles and the Thirty-Fourth Painlevé Transcendent
- Asymptotic analysis of random matrices with external source and a family of algebraic curves
- Log-gases, random matrices and the Fisher-Hartwig conjecture
- Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
- Spacing distributions in random matrix ensembles
- Toeplitz determinants, Fisher-Hartwig symbols, and random matrices
- Orthogonal polynomials for exponential weights
- Asymptotic analysis of the density of states in random matrix models associated with a slowly decaying weight
- On the \(1/n\) expansion for some unitary invariant ensembles of random matrices
This page was built for publication: Universality limits in the bulk for varying measures