Random matrices with equispaced external source

DOI10.1007/s00220-014-1988-yzbMath1291.15085arXiv1212.3768OpenAlexW2074139755MaRDI QIDQ2248861

Dong Wang, Tom Claeys

Publication date: 27 June 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3768

zbMATH Keywords

random matrix

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52)

Related Items

Asymptotics of Muttalib-Borodin determinants with Fisher-Hartwig singularities ⋮ Some biorthogonal polynomials arising in numerical analysis and approximation theory ⋮ Universality for random matrices with equi-spaced external source: a case study of a biorthogonal ensemble ⋮ Airy point process via supersymmetric lifts ⋮ Universality for random matrix flows with time-dependent density ⋮ The Kontsevich matrix integral: convergence to the Painlevé hierarchy and Stokes' phenomenon ⋮ Boundaries of sine kernel universality for Gaussian perturbations of Hermitian matrices ⋮ Bulk universality for deformed Wigner matrices ⋮ Asymptotic zero distribution of biorthogonal polynomials ⋮ A vector Riemann-Hilbert approach to the Muttalib-Borodin ensembles ⋮ Stability of large complex systems with heterogeneous relaxation dynamics ⋮ Generalized random matrix model with additional interactions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectra of random Hermitian matrices with a small-rank external source: the critical and near-critical regimes
• Determinantal processes with number variance saturation
• Large \(n\) limit of Gaussian random matrices with external source. I
• Large \(n\) limit of Gaussian random matrices with external source. III: Double scaling limit
• Universality for the Pearcey process
• Spectral analysis of large dimensional random matrices
• The isomonodromy approach to matrix models in 2D quantum gravity
• Random Hermitian matrices in an external field
• On fluctuations of eigenvalues of random Hermitian matrices.
• Tracy-Widom limit for the largest eigenvalue of a large class of complex sample covariance matrices
• Spectra of random Hermitian matrices with a small-rank external source: the supercritical and subcritical regimes
• Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
• Integral representations for multiple Hermite and multiple Laguerre polynomials.
• Large \(n\) limit of Gaussian random matrices with external source. II
• Random matrices with external source and the asymptotic behaviour of multiple orthogonal polynomials
• Random matrix model with external source and a constrained vector equilibrium problem
• On the Largest Eigenvalue of a Hermitian Random Matrix Model with Spiked External Source I. Rank 1 Case
• Differential Operators on a Semisimple Lie Algebra
• Dyson's nonintersecting Brownian motions with a few outliers
• Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
• The planar approximation. II
• Topological recursion in enumerative geometry and random matrices
• On the Largest Eigenvalue of a Hermitian Random Matrix Model with Spiked External Source II: Higher Rank Cases
• PDEs for the Gaussian ensemble with external source and the Pearcey distribution
• Some classical multiple orthogonal polynomials

This page was built for publication: Random matrices with equispaced external source