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Differential identities for the structure function of some random matrix ensembles (Q2034665)

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English	Differential identities for the structure function of some random matrix ensembles	scientific article

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scholarly article

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Differential identities for the structure function of some random matrix ensembles (English)

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zbMATH Open document ID

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10.1007/s10955-021-02767-5

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Journal of Statistical Physics

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publication date

22 June 2021

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full work available at URL

https://arxiv.org/abs/2006.00668

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

random matrix ensembles

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Peter J. Forrester

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MaRDI profile type

MaRDI publication profile

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A Dynamical Approach to Random Matrix Theory

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Compound nucleus resonances, random matrices, quantum chaos

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Statistical Theory of the Energy Levels of Complex Systems. IV

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Mesoscopic central limit theorem for the circular \(\beta\)-ensembles and applications

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Analytic properties of the structure function for the one-dimensional one-component log-gas.

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Moments of the Gaussian β ensembles and the large-<i>N</i> expansion of the densities

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Nonperturbative theory of power spectrum in complex systems

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Black holes and random matrices

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Chaos, complexity, and random matrices

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Spectral decoupling in many-body quantum chaos

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Spectral form factor and semi-circle law in the time direction

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Recurrence equations for the computation of correlations in the \(1/r^2\) quantum many-body system

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Selberg Integrals and Hypergeometric Functions Associated with Jack Polynomials

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A Fuchsian matrix differential equation for Selberg correlation integrals

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Linear differential equations for the resolvents of the classical matrix ensembles

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Functional form for the leading correction to the distribution of the largest eigenvalue in the GUE and LUE

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Recursion for the smallest eigenvalue density of \(\beta \)-Wishart-Laguerre ensemble

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Finite‐size corrections at the hard edge for the Laguerre β ensemble

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Recursion scheme for the largest $\beta$ -Wishart–Laguerre eigenvalue and Landauer conductance in quantum transport

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Application of the<i>τ</i>-function theory of Painlevé equations to random matrices:<b>P<sub>VI</sub></b>, the JUE, CyUE, cJUE and scaled limits

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Large <i>N</i> expansions for the Laguerre and Jacobi <i>β</i>-ensembles from the loop equations

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GLOBAL FLUCTUATIONS FOR LINEAR STATISTICS OF β-JACOBI ENSEMBLES

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Loop equation analysis of the circular \(\beta\) ensembles

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Fractional statistics in one dimension: View from an exactly solvable model

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Fredholm determinants, differential equations and matrix models

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Random matrices with complex Gaussian entries

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Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. {T}he continuous case

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The rate of convergence for spectra of GUE and LUE matrix ensembles

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An exact prediction of N=4 supersymmetric Yang–Mills theory for string theory

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On the density profile in Fourier space of harmonically confined ideal quantum gases in<i>d</i>dimensions

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Wigner distribution function for a harmonically trapped gas of ideal fermions and bosons at arbitrary temperature and dimensionality

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Moments of the ground state density for the d-dimensional Fermi gas in an harmonic trap

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Connected correlator of 1/2 BPS Wilson loops in \( \mathcal{N}=4 \) SYM

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Moments of random matrices and hypergeometric orthogonal polynomials

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ASYMPTOTIC EXPANSIONS FOR THE GAUSSIAN UNITARY ENSEMBLE

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The spectrum edge of random matrix ensembles.

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Wilson loops in N=4 supersymmetric Yang-Mills theory from random matrix theory

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Notes on supersymmetric Wilson loops on a two-sphere

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Note on generating functions and connected correlators of 1/2-BPS Wilson loops in \(\mathcal{N} = 4\) SYM theory

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Random Matrix Theory with an External Source

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Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry

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Asymptotische Entwicklungen der Laguerreschen Polynome

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Spectral density asymptotics for Gaussian and Laguerre β-ensembles in the exponentially small region

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Eigenvalue instantons in the spectral form factor of random matrix model

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JT gravity, KdV equations and macroscopic loop operators

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Vertices from replica in a random matrix theory

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Mathematics(1 entry)

mardi Publication:2034665

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