Invariant sums of random matrices and the onset of level repulsion

DOI10.1088/1742-5468/2015/06/P06024zbMath1456.82010arXiv1408.5720OpenAlexW3102298001MaRDI QIDQ3302299

Giacomo Livan, Pierpaolo Vivo, Zdzislaw Burda

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5720

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Classical equilibrium statistical mechanics (general) (82B05) Random matrices (algebraic aspects) (15B52)

Cites Work

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• How to generate random matrices from the classical compact groups
• Limit laws for random matrices and free products
• Multiplicative functions on the lattice of non-crossing partitions and free convolution
• Operator algebras and their connections with topology and ergodic theory. Proceedings of the OATE Conference held in Buşteni, Romania, August 29 - September 9, 1983. With the assistance of Gr. Arsene
• Joint probability densities of level spacing ratios in random matrices
• Universality of Wigner random matrices: a survey of recent results
• Free Random Variables
• Universal microscopic correlation functions for products of independent Ginibre matrices
• Differential Operators on a Semisimple Lie Algebra
• Spectra of sparse random matrices
• Gaussian ensemble of 2   2 pseudo-Hermitian random matrices
• The planar approximation. II
• Singular value correlation functions for products of Wishart random matrices
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
• Macroscopic and microscopic (non-)universality of compact support random matrix theory

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