Asymptotic free independence and entry permutations for Gaussian random matrices. II: Infinitesimal freeness
type: Item
instance of: scholarly article
title: Asymptotic free independence and entry permutations for Gaussian random matrices. II: Infinitesimal freeness
author: Mihai Popa
author: Kamil Szpojankowski
author: Pei-Lun Tseng
published in: Electronic Journal of Probability
publication date: 2024-12-20T00:00:00Z
Mathematics Subject Classification ID: 46L54
Mathematics Subject Classification ID: 60B20
zbMATH DE Number: 7960002
zbMATH Keywords: Gaussian unitary ensemble
zbMATH Keywords: infinitesimal freeness
zbMATH Keywords: matrix entry permutations
MaRDI profile type: Publication
cites work: Hastings's additivity counterexample via Dvoretzky's theorem
cites work: Asymptotic eigenvalue distributions of block-transposed Wishart matrices
cites work: On the Outlying Eigenvalues of a Polynomial in Large Independent Random Matrices
cites work: Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem
cites work: Free probability of type \(B\): analytic interpretation and applications
cites work: Non-crossing cumulants of type B
cites work: Relations between infinitesimal non-commutative cumulants
cites work: Einstein billiards and overextensions of finite-dimensional simple Lie algebras
cites work: Higher order infinitesimal freeness
cites work: Infinitesimal non-crossing cumulants and free probability of type B
cites work: Differential independence via an associative product of infinitely many linear functionals
cites work: Separability of \(n\)-particle mixed states: necessary and sufficient conditions in terms of linear maps
cites work: Gaussian Hilbert Spaces
cites work: Joint global fluctuations of complex Wigner and deterministic matrices
cites work: Non‐crossing annular pairings and the infinitesimal distribution of the<scp>goe</scp>
cites work: Freeness and the transposes of unitarily invariant random matrices
cites work: Freeness and The Partial Transposes of Wishart Random Matrices
cites work: The partial transpose and asymptotic free independence for Wishart random matrices. II
cites work: On the partial transpose of a Haar unitary matrix
cites work: Asymptotic *-distribution of permuted Haar unitary matrices
cites work: Asymptotic free independence and entry permutations for Gaussian random matrices
cites work: Free probability of type B and asymptotics of finite-rank perturbations of random matrices
cites work: A unified approach to infinitesimal freeness with amalgamation
cites work: Addition of certain non-commuting random variables
cites work: Limit laws for random matrices and free products
cites work: Free Random Variables
DOI: 10.1214/24-EJP1226
description: scientific article; zbMATH DE number 7960002