Moments of random matrices and hypergeometric orthogonal polynomials
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Publication:2311921
DOI10.1007/s00220-019-03323-9zbMath1427.60012arXiv1805.08760OpenAlexW3098820747WikidataQ128442866 ScholiaQ128442866MaRDI QIDQ2311921
Neil O'Connell, Fabio Deelan Cunden, Francesco Mezzadri, Nick Simm
Publication date: 4 July 2019
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.08760
Mellin transformhypergeometric orthogonal polynomialsquantum transportspectral zeta functionmoments of random matrices
Random matrices (probabilistic aspects) (60B20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Random matrices (algebraic aspects) (15B52)
Related Items (17)
Expanding the Fourier transform of the scaled circular Jacobi \(\beta\) ensemble density ⋮ Laguerre ensemble: correlators, Hurwitz numbers and Hodge integrals ⋮ Symmetric function theory and unitary invariant ensembles ⋮ Classical skew orthogonal polynomials in a two-component log-gas with charges \(+1\) and \(+2\) ⋮ Integer moments of complex Wishart matrices and Hurwitz numbers ⋮ Differential identities for the structure function of some random matrix ensembles ⋮ Jacobi ensemble, Hurwitz numbers and Wilson polynomials ⋮ Moments of the ground state density for the d-dimensional Fermi gas in an harmonic trap ⋮ Moments of generalized Cauchy random matrices and continuous-Hahn polynomials ⋮ Moments of discrete orthogonal polynomial ensembles ⋮ Relations between moments for the Jacobi and Cauchy random matrix ensembles ⋮ The classical β-ensembles with β proportional to 1/N: From loop equations to Dyson’s disordered chain ⋮ Applications in random matrix theory of a PIII′ τ-function sequence from Okamoto’s Hamiltonian formulation ⋮ Global and local scaling limits for the β = 2 Stieltjes–Wigert random matrix ensemble ⋮ Linear differential equations for the resolvents of the classical matrix ensembles ⋮ \(q\)-Pearson pair and moments in \(q\)-deformed ensembles ⋮ Grothendieck’s dessins d’enfants in a web of dualities. III
Cites Work
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- Moments of the position of the maximum for GUE characteristic polynomials and for log-correlated Gaussian processes
- Tau-function theory of chaotic quantum transport with \(\beta = 1, 2, 4\)
- Mellin transforms with only critical zeros: Legendre functions
- Oscillation theorems for the Wronskian of an arbitrary sequence of eigenfunctions of Schrödinger's equation
- Zeros of exceptional Hermite polynomials
- Free probability and random matrices
- General moments of the inverse real Wishart distribution and orthogonal Weingarten functions
- A recursion formula for the moments of the Gaussian orthogonal ensemble
- Duality in random matrix ensembles for all \(\beta \)
- A method to calculate correlation functions for \(\beta =1\) random matrices of odd size
- Duality of real and quaternionic random matrices
- On Riemann's zeta function
- Spectral functions, special functions and the Selberg zeta function
- Duality of orthogonal and symplectic matrix integrals and quaternionic Feynman graphs
- Random matrices with complex Gaussian entries
- Asymptotic correlations at the spectrum edge of random matrices
- Classical skew orthogonal polynomials and random matrices
- Generating series for GUE correlators
- Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. {T}he continuous case
- The Euler characteristic of the moduli space of curves
- Large parameter cases of the Gauss hypergeometric function
- A local Riemann hypothesis. I
- Universality of the correlations between eigenvalues of large random matrices.
- Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I.
- A unified approach to polynomial sequences with only real zeros
- The rate of convergence for spectra of GUE and LUE matrix ensembles
- A matrix model with a singular weight and Painlevé III
- Moments of the characteristic polynomial in the three ensembles of random matrices
- Large-N expansion for the time-delay matrix of ballistic chaotic cavities
- Moments of the transmission eigenvalues, proper delay times, and random matrix theory. I
- Transport moments beyond the leading order
- Moments of the transmission eigenvalues, proper delay times and random matrix theory II
- Correlators for the Wigner–Smith time-delay matrix of chaotic cavities
- Distribution of spectral linear statistics on random matrices beyond the large deviation function—Wigner time delay in multichannel disordered wires
- On an Average over the Gaussian Unitary Ensemble
- Moments of the Gaussian β ensembles and the large-N expansion of the densities
- Efficient semiclassical approach for time delays
- A unified fluctuation formula for one-cutβ-ensembles of random matrices
- Tuck's incompressibility function: statistics for zeta zeros and eigenvalues
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- Matrix Valued Brownian Motion and a Paper by Pólya
- Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
- Convolutions of Orthonormal Polynomials
- On the Mellin transforms of hypergeometric polynomials
- Classical Orthogonal Polynomials as Moments
- Maps in Locally Orientable Surfaces and Integrals Over Real Symmetric Surfaces
- Beta-integrals and finite orthogonal systems of Wilson polynomials
- Finiteness of inverse moments of (m,n,β)-Laguerre matrices
- Random Matrix Ensembles with Singularities and a Hierarchy of Painlevé III Equations
- Large N expansions for the Laguerre and Jacobi β-ensembles from the loop equations
- All Invariant Moments of the Wishart Distribution
- GLOBAL FLUCTUATIONS FOR LINEAR STATISTICS OF β-JACOBI ENSEMBLES
- Statistics of time delay and scattering correlation functions in chaotic systems. II. Semiclassical approximation
- Statistics of time delay and scattering correlation functions in chaotic systems. I. Random matrix theory
- Moments of Wishart-Laguerre and Jacobi ensembles of random matrices: application to the quantum transport problem in chaotic cavities
- Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials
- Special functions and the Mellin transforms of Laguerre and Hermite functions
- Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
- ASSOCIATED STURM-LIOUVILLE SYSTEMS
- Discrete quantum mechanics
- Application of the \(\tau\)-function theory of Painlevé equations to random matrices: PIV, PII and the GUE.
- On the \(1/n\) expansion for some unitary invariant ensembles of random matrices
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