Strong asymptotic freeness for independent uniform variables on compact groups associated to nontrivial representations
type: Item
instance of: scholarly article
title: Strong asymptotic freeness for independent uniform variables on compact groups associated to nontrivial representations
author: Charles Bordenave
author: Benoit Collins
published in: Inventiones Mathematicae
publication date: 2024-06-23T00:00:00Z
Mathematics Subject Classification ID: 46L54
Mathematics Subject Classification ID: 60B20
Mathematics Subject Classification ID: 15B52
Mathematics Subject Classification ID: 22D10
zbMATH DE Number: 7870147
zbMATH Keywords: Haar-distributed unitary matrices
zbMATH Keywords: strong asymptotic freeness
zbMATH Keywords: centered Weingarten calculus
zbMATH Keywords: Gaussian moments
zbMATH Keywords: tensor moment matrices
MaRDI profile type: Publication
cites work: Quantum ergodicity on regular graphs
cites work: Convergence of the largest singular value of a polynomial in independent Wigner matrices
cites work: An Introduction to Random Matrices
cites work: Alice and Bob Meet Banach
cites work: A new proof of Friedman's second eigenvalue theorem and its extension to random lifts
cites work: Eigenvalues of random lifts and polynomials of random permutation matrices
cites work: Q4800289
cites work: \({\ast}\)-freeness in finite tensor products
cites work: The strong asymptotic freeness of Haar and deterministic matrices
cites work: Weingarten calculus via orthogonality relations: new applications
cites work: Gaussianization and eigenvalue statistics for random quantum channels. III
cites work: Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
cites work: The action of a few random permutations on r-tuples and an application to cryptography
cites work: The eigenvalues of random symmetric matrices
cites work: Euclidean distance between Haar orthogonal and Gaussian matrices
cites work: Symmetry, Representations, and Invariants
cites work: A new application of random matrices: \(\operatorname{Ext} (C_{\text{red}}^*(F_2))\) is not a group
cites work: Q3602387
cites work: Q3636251
cites work: Gaussian Hilbert Spaces
cites work: How many entries of a typical orthogonal matrix can be approximated by independent normals?
cites work: Q4500512
cites work: Ramanujan graphs
cites work: Q4071451
cites work: Jucys–Murphy Elements and Unitary Matrix Integrals
cites work: Free probability and random matrices
cites work: Q3997462
cites work: Asymptotically free families of random unitaries in symmetric groups
cites work: Q4896138
cites work: Quantum expanders and geometry of operator spaces
cites work: Q4185363
cites work: Limit laws for random matrices and free products
cites work: Q4383659
cites work: Q3215171
DOI: 10.1007/S00222-024-01259-Z
description: scientific article; zbMATH DE number 7870147