On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices

DOI10.4310/CJM.2022.v10.n1.a3zbMath1487.46073arXiv1912.04588MaRDI QIDQ2129686

Félix Parraud, Benoit Collins, Alice Guionnet

Publication date: 22 April 2022

Published in: Cambridge Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04588

zbMATH Keywords

free probability theoryGUE random matrices

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Convergence of probability measures (60B10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

Concentration estimates for random subspaces of a tensor product and application to quantum information theory ⋮ Matrix concentration inequalities and free probability ⋮ Convergence for noncommutative rational functions evaluated in random matrices ⋮ Asymptotic expansion of smooth functions in polynomials in deterministic matrices and iid GUE matrices

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