Free entropy dimension and regularity of non-commutative polynomials

DOI10.1016/j.jfa.2016.05.001zbMath1376.46051OpenAlexW2351657481MaRDI QIDQ306565

Dimitri Shlyakhtenko, Ian Charlesworth

Publication date: 31 August 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2016.05.001

zbMATH Keywords

free probabilityfree entropynon-atomic distributions

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Entropy and other invariants (28D20)

Related Items (8)

Absence of algebraic relations and of zero divisors under the assumption of full non-microstates free entropy dimension ⋮ On finite free Fisher information for eigenvectors of a modular operator ⋮ Hölder continuity of cumulative distribution functions for noncommutative polynomials under finite free Fisher information ⋮ Rare events in random matrix theory ⋮ The free field: realization via unbounded operators and Atiyah property ⋮ Analogues of entropy in bi-free probability theory: non-microstate ⋮ Local laws for polynomials of Wigner matrices ⋮ Free probability theory. Abstracts from the workshop held December 2--8, 2018

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• A law of large numbers for finite-range dependent random matrices
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