Introduction to the random matrix theory: Gaussian Unitary Ensemble and beyond

DOI10.1017/CBO9780511550492.003zbMath1204.11151arXivmath-ph/0412017OpenAlexW1662707532MaRDI QIDQ5482832

Yan. V. Fyodorov

Publication date: 15 August 2006

Published in: Recent Perspectives in Random Matrix Theory and Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0412017

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Brownian motion (60J65) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other Dirichlet series and zeta functions (11M41) Random matrices (algebraic aspects) (15B52) Relations with random matrices (11M50)

Related Items (9)

A convergent \({\frac{1}{N}}\) expansion for GUE ⋮ Quantum state estimation when qubits are lost: a no-data-left-behind approach ⋮ 2D CFT partition functions at late times ⋮ Complete random matrix classification of SYK models with \( \mathcal{N} = 0, 1\) and 2 supersymmetry ⋮ Statistics of the maximal distance and momentum in a trapped Fermi gas at low temperature ⋮ The spectral connection matrix for classical orthogonal polynomials of a single parameter ⋮ The spectral connection matrix for any change of basis within the classical real orthogonal polynomials ⋮ Expected centre of mass of the random Kodaira embedding ⋮ Gap probabilities and Betti numbers of a random intersection of quadrics

This page was built for publication: Introduction to the random matrix theory: Gaussian Unitary Ensemble and beyond