An update on local universality limits for correlation functions generated by unitary ensembles
From MaRDI portal
Publication:308687
DOI10.3842/SIGMA.2016.078zbMath1347.15043arXiv1604.03133MaRDI QIDQ308687
Publication date: 6 September 2016
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.03133
Random matrices (probabilistic aspects) (60B20) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Random matrices (algebraic aspects) (15B52) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Limit theorems in probability theory (60F99)
Related Items (10)
Spectral properties of block Jacobi matrices ⋮ Periodic perturbations of unbounded Jacobi matrices III: the soft edge regime ⋮ Scaling limits of Jacobi matrices and the Christoffel-Darboux kernel ⋮ Universality for conditional measures of the sine point process ⋮ On the spacing of zeros of paraorthogonal polynomials for singular measures ⋮ The {D}irichlet problem in weighted norm ⋮ Asymptotics of orthogonal polynomials with slowly oscillating recurrence coefficients ⋮ Boundaries of sine kernel universality for Gaussian perturbations of Hermitian matrices ⋮ Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation. I ⋮ Christoffel functions for multiple orthogonal polynomials
Cites Work
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- Universality of mesoscopic fluctuations for orthogonal polynomial ensembles
- Bulk universality holds in measure for compactly supported measures
- A variational principle for correlation functions for unitary ensembles, with applications
- The polyanalytic Ginibre ensembles
- Universality for ensembles of matrices with potential theoretic weights on domains with smooth boundary
- Universality in measure in the bulk for varying weights
- Asymptotics of orthogonal polynomials for a weight with a jump on \([-1,1\)]
- Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with absolutely continuous spectrum
- Bulk universality holds pointwise in the mean for compactly supported measures
- Sine kernel asymptotics for a class of singular measures
- A new approach to universality limits involving orthogonal polynomials
- Gaussian fluctuations of eigenvalues in log-gas ensemble: bulk case. I
- Strong asymptotics of Laguerre-type orthogonal polynomials and applications in random matrix theory
- Universality limits involving orthogonal polynomials on the unit circle
- Universality limits in the bulk for varying measures
- Two extensions of Lubinsky's universality theorem
- Universality type limits for Bergman orthogonal polynomials
- Universality for locally Szegő measures
- Universality limits in the bulk for arbitrary measures on compact sets
- Universality limits for random matrices and de Branges spaces of entire functions
- Universality and fine zero spacing on general sets
- Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles
- Level-spacing distributions and the Airy kernel
- Universality for eigenvalue correlations at the origin of the spectrum
- Asymptotics for Christoffel functions for general measures on the real line
- Christoffel functions with power type weights
- Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
- Asymptotics for Christoffel functions with varying weights
- The Riemann--Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]
- Universality limits of a reproducing kernel for a half-line Schrödinger operator and clock behavior of eigenvalues
- Universality limits for generalized Jacobi measures
- Orthogonal Dirichlet polynomials with arctangent density
- Bulk asymptotics for polyanalytic correlation kernels
- Christoffel functions and universality on the boundary of the ball
- Universality limits for exponential weights
- Expected number of real zeros for random Freud orthogonal polynomials
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- Universality limits involving orthogonal polynomials on an arc of the unit circle
- Edge statistics for a class of repulsive particle systems
- Applications of universality limits to zeros and reproducing kernels of orthogonal polynomials
- Stability of asymptotics of Christoffel-Darboux kernels
- A class of orthogonal polynomials
- Universality Under Szegő’s Condition
- Expected number of real zeros for random linear combinations of orthogonal polynomials
- Global Asymptotics for the Christoffel-Darboux Kernel of Random Matrix Theory
- Central limit theorems for biorthogonal ensembles and asymptotics of recurrence coefficients
- Universality limits for entire functions
- Universality for eigenvalue correlations from the unitary ensemble associated with a family of singular weights
- CHRISTOFFEL FUNCTIONS AND UNIVERSALITY LIMITS FOR ORTHOGONAL RATIONAL FUNCTIONS
- Universality Limits at the Soft Edge of the Spectrum via Classical Complex Analysis
- Universality of Wigner random matrices: a survey of recent results
- Universality
- Universality Limits Involving Orthogonal Polynomials on a Smooth Closed Contour
- Statistical Theory of the Energy Levels of Complex Systems. I
- On the density of Eigenvalues of a random matrix
- Extremal Problems for Polynomials with Exponential Weights
- Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164)
- The Formula steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights
- Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices
- Integrable Systems and Random Matrices
- The Steepest Descent Method for Orthogonal Polynomials on the Real Line with Varying Weights
- Universality Limits at the Hard Edge of the Spectrum for Measures with Compact Support
- An Introduction to Random Matrices
- On the statistical properties of the level-spacings in nuclear spectra
- Developments in random matrix theory
- Christoffel functions on Jordan curves with respect to measures with jump singularity
- Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
- Asymptotics for the painlevé II equation
- Christoffel Functions and Universality in the Bulk for Multivariate Orthogonal Polynomials
- Random matrices: The Universality phenomenon for Wigner ensembles
- Bernstein-Markov: a survey
- The Christoffel-Darboux Kernel
- FUNDAMENTAL PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A CONTOUR
- Determinants of orthogonal polynomials
- Real Analysis
- Orthogonal polynomials for exponential weights
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