Asymptotic freeness in tracial ultraproducts

C Houdayer, A Ioana - Forum of Mathematics, Sigma, 2024 - cambridge.org
Asymptotic freeness in tracial ultraproducts Page 1 Forum of Mathematics, Sigma (2024), Vol.
12:e88 1–22 doi:10.1017/fms.2024.93 RESEARCH ARTICLE Asymptotic freeness in tracial …

General solidity phenomena and anticoarse spaces for type factors

B Hayes, D Jekel, SK Elayavalli, B Nelson - arXiv preprint arXiv …, 2024 - arxiv.org
By developing a theory of anticoarse spaces in the purely infinite setting and using 1-
bounded entropy techniques along with recent strong convergence results in random matrix …

The spectrum of a tensor of random and deterministic matrices

F Parraud - arXiv preprint arXiv:2410.04481, 2024 - arxiv.org
We consider operator-valued polynomials in Gaussian Unitary Ensemble random matrices
and we show that its $ L^ p $-norm can be upper bounded, up to an asymptotically small …