Spectral curves, variational problems and the Hermitian matrix model with external source
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Publication:2021638
DOI10.1007/s00220-021-03999-yOpenAlexW3127244446MaRDI QIDQ2021638
Guilherme L. F. Silva, Andrei Martínez-Finkelshtein
Publication date: 27 April 2021
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.08108
Matrix equations and identities (15A24) Random matrices (algebraic aspects) (15B52) Equations and inequalities involving linear operators, with vector unknowns (47A50) Basic linear algebra (15Axx) General theory of linear operators (47Axx) Special matrices (15Bxx)
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- Universality of mesoscopic fluctuations for orthogonal polynomial ensembles
- Trajectories of quadratic differentials for Jacobi polynomials with complex parameters
- Critical measures for vector energy: global structure of trajectories of quadratic differentials
- Corrigendum: ``Homogenized spectral problems for exactly solvable operators: asymptotics of polynomial eigenfunctions
- Painlevé kernels in Hermitian matrix models
- On mother body measures with algebraic Cauchy transform
- Riemann--Hilbert analysis for Jacobi polynomials orthogonal on a single contour
- Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials
- Interlacing properties of zeros of multiple orthogonal polynomials
- Spectra of random Hermitian matrices with a small-rank external source: the critical and near-critical regimes
- Boutroux curves with external field: equilibrium measures without a variational problem
- Nearest neighbor recurrence relations for multiple orthogonal polynomials
- Large \(n\) limit of Gaussian random matrices with external source. I
- Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions
- The Pearcey process
- Large \(n\) limit of Gaussian random matrices with external source. III: Double scaling limit
- Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights
- On spectral polynomials of the Heun equation. I
- The polynomial method for random matrices
- Global eigenvalue distribution regime of random matrices with an anharmonic potential and an external source
- Random Hermitian matrices in an external field
- Asymptotic behavior of quadratic Hermite-Padé approximants to the exponential function and Riemann-Hilbert problems
- Differential systems for biorthogonal polynomials appearing in 2-Matrix models and the associated Riemann-Hilbert problem
- Universality for general Wigner-type matrices
- Universality for random matrix flows with time-dependent density
- Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system
- Fixed energy universality of Dyson Brownian motion
- Limit theorems for biorthogonal ensembles and related combinatorial identities
- Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
- Duality, biorthogonal polynomials and multi-matrix models
- Optimal tail estimates for directed last passage site percolation with geometric random variables
- On fluctuations of eigenvalues of random Hermitian matrices.
- Average characteristic polynomials of determinantal point processes
- Homogenized spectral problems for exactly solvable operators: asymptotics of polynomial eigenfunctions
- Universality conjecture and results for a model of several coupled positive-definite matrices
- Asymptotics of orthogonal polynomials with complex varying quartic weight: global structure, critical point behavior and the first Painlevé equation
- On the limit behavior of recurrence coefficients for multiple orthogonal polynomials
- Multi-critical unitary random matrix ensembles and the general Painlevé II equation
- Convergence of local statistics of Dyson Brownian motion
- Polynomial ensembles and recurrence coefficients
- Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weight
- On spectral polynomials of the Heun equation. II
- Spectra of random Hermitian matrices with a small-rank external source: the supercritical and subcritical regimes
- Duality of spectral curves arising in two-matrix models
- The supercritical regime in the normal matrix model with cubic potential
- Large \(n\) limit of Gaussian random matrices with external source. II
- Painlevé I double scaling limit in the cubic random matrix model
- Large N-limit for random matrices with external source with three distinct eigenvalues
- Central limit theorems for biorthogonal ensembles and asymptotics of recurrence coefficients
- Subharmonic Configurations and Algebraic Cauchy Transforms of Probability Measures
- Random Matrix Theory with an External Source
- Hermite-Padé Approximants for a Pair of Cauchy Transforms with Overlapping Symmetric Supports
- Nuttall's Abelian integral on the Riemann surface of the cube root of a polynomial of degree 3
- The asymptotics of Hermite-Padé polynomials for two Markov-type functions
- 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
- Multiple orthogonal polynomials in random matrix theory
- On the Largest Eigenvalue of a Hermitian Random Matrix Model with Spiked External Source I. Rank 1 Case
- Painlevé I asymptotics for orthogonal polynomials with respect to a varying quartic weight
- A law of large numbers for finite-range dependent random matrices
- Critical Edge Behavior in Unitary Random Matrix Ensembles and the Thirty-Fourth Painlevé Transcendent
- Asymptotics of Hermite-Pade Rational Approximants for Two Analytic Functions with Separated Pairs of Branch Points (Case of Genus 0)
- Systems of Markov functions generated by graphs and the asymptotics of their Hermite-Padé approximants
- Multiple orthogonal polynomial ensembles
- Asymptotic analysis of random matrices with external source and a family of algebraic curves
- Partition functions for matrix models and isomonodromic tau functions
- Random Matrix Ensembles with Singularities and a Hierarchy of Painlevé III Equations
- Root-counting Measures of Jacobi Polynomials and Topological Types and Critical Geodesics of Related Quadratic Differentials
- On Mesoscopic Equilibrium for Linear Statistics in Dyson’s Brownian Motion
- The Mother Body Phase Transition in the Normal Matrix Model
- Boundaries of sine kernel universality for Gaussian perturbations of Hermitian matrices
- Topological Expansion in the Cubic Random Matrix Model
- On the Largest Eigenvalue of a Hermitian Random Matrix Model with Spiked External Source II: Higher Rank Cases
- Universality in the two‐matrix model: a Riemann‐Hilbert steepest‐descent analysis
- Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half‐Plane
- A Dynamical Approach to Random Matrix Theory
- Asymptotics of Orthogonal Polynomials and the Painlevé Transcendents
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