A combinatorial result on asymptotic independence relations for random matrices with non-commutative entries

DOI10.7900/jot.2017may21.2170zbMath1424.46091arXiv1704.06324OpenAlexW2963335405WikidataQ129360209 ScholiaQ129360209MaRDI QIDQ4685143

Mihai Popa, Zhiwei Hao

Publication date: 5 October 2018

Published in: Journal of Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06324

zbMATH Keywords

Gaussian random matricesfree independenceBoolean independencerandom matrices with non-commutative entriessemicircular variables

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Free probability and free operator algebras (46L54) Random matrices (algebraic aspects) (15B52)

Related Items (7)

Asymptotic free independence and entry permutations for Gaussian random matrices ⋮ Fluctuation moments induced by conjugation with asymptotically liberating random matrix ensembles ⋮ Asymptotic *-distribution of permuted Haar unitary matrices ⋮ Operator-valued matrices with free or exchangeable entries ⋮ Boolean convolutions and regular variation ⋮ An asymptotic property of large matrices with identically distributed Boolean independent entries ⋮ Semicircular families of general covariance from Wigner matrices with permuted entries

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