Mesoscopic fluctuations for the thinned circular unitary ensemble

DOI10.1007/s11040-017-9250-4zbMath1413.60002arXiv1611.00991OpenAlexW3106331970WikidataQ59611175 ScholiaQ59611175MaRDI QIDQ1664365

Maurice Duits, Tomas Berggren

Publication date: 27 August 2018

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00991

zbMATH Keywords

random matricescentral limit theoremsRiemann-Hilbert problemslinear statisticsmesoscopic scales

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Boundary value problems in the complex plane (30E25) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (12)

Partial Linear Eigenvalue Statistics for Non-Hermitian Random Matrices ⋮ General truncated linear statistics for the top eigenvalues of random matrices ⋮ Subcritical multiplicative chaos for regularized counting statistics from random matrix theory ⋮ Functional form for the leading correction to the distribution of the largest eigenvalue in the GUE and LUE ⋮ Truncated linear statistics associated with the eigenvalues of random matrices. II: Partial sums over proper time delays for chaotic quantum dots ⋮ On smooth mesoscopic linear statistics of the eigenvalues of random permutation matrices ⋮ Determinantal point processes conditioned on randomly incomplete configurations ⋮ A review of exact results for fluctuation formulas in random matrix theory ⋮ Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system ⋮ Large deformations of the Tracy-Widom distribution. I: Non-oscillatory asymptotics ⋮ Incomplete determinantal processes: from random matrix to Poisson statistics ⋮ Truncated linear statistics in the one dimensional one-component plasma

Uses Software

• CLT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Universality of mesoscopic fluctuations for orthogonal polynomial ensembles
• Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities
• A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics
• Mesoscopic fluctuations for unitary invariant ensembles
• The central limit theorem for local linear statistics in classical compact groups and related combinatorial identities
• The Altshuler-Shklovskii formulas for random band matrices. II: The general case
• On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. I
• Mesoscopic eigenvalue statistics of Wigner matrices
• The Altshuler-Shklovskii formulas for random band matrices. I: The unimodular case
• Course 1 Random matrices and determinantal processes
• An Introduction to Random Matrices
• On Mesoscopic Equilibrium for Linear Statistics in Dyson’s Brownian Motion
• Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
• Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture
• Thinning and conditioning of the circular unitary ensemble
• DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS
• An Introduction to the Theory of Point Processes
• Probability

This page was built for publication: Mesoscopic fluctuations for the thinned circular unitary ensemble