ORBITAL APPROACH TO MICROSTATE FREE ENTROPY

DOI10.1142/S0129167X09005261zbMath1178.46065arXivmath/0702745OpenAlexW3098423609MaRDI QIDQ3622812

Yoshimichi Ueda, Takuho Miyamoto, Fumio Hiai

Publication date: 28 April 2009

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

Full work available at URL: https://arxiv.org/abs/math/0702745

zbMATH Keywords

free entropy dimensionorbital free entropynoncommutative selfadjoint random variables

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Hausdorff and packing measures (28A78)

Related Items (10)

A remark on orbital free entropy ⋮ Concavification of free entropy ⋮ LIBERATION, FREE MUTUAL INFORMATION AND ORBITAL FREE ENTROPY ⋮ Liberation of projections ⋮ Matrix liberation process. I: Large deviation upper bound and almost sure convergence ⋮ The spectral edge of unitary Brownian motion ⋮ Orbital free pressure and its Legendre transform ⋮ Remarks on free mutual information and orbital free entropy ⋮ Schur–Weyl duality and the product of randomly-rotated symmetries by a unitary Brownian motion ⋮ Matrix Liberation Process II: Relation to Orbital Free Entropy

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• FREE ENTROPY
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