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arXiv.org e-Print Archive
Preprint . 2001
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https://doi.org/10.1007/bfb010...
Part of book or chapter of book . 2000 . Peer-reviewed
License: Springer TDM
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Bulletin of the London Mathematical Society
Article . 2002 . Peer-reviewed
License: Wiley Online Library User Agreement
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https://dx.doi.org/10.48550/ar...
Article . 2001
License: arXiv Non-Exclusive Distribution
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Free entropy

Free entropy.
descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint 01 Jan 2000Embargo end date: 01 Jan 2001Publisher:Springer Berlin HeidelbergJournal:Bulletin of the London Mathematical Society, volume 34, pages 257-278 (issn: 0024-6093, eissn: 1469-2120, Copyright policy )Funded by:NSF | Noncommutative Probabilit...
Authors: Voiculescu, Dan;

doi: 10.1007/bfb0106727 , 10.1112/s0024609301008992 , 10.48550/arxiv.math/0103168

arXiv: math/0103168

Abstract

Free entropy is the analogue of entropy in free probability theory. The paper is a survey of free entropy, its applications to von Neumann algebras and its connections to random matrix theory, as well as a discussion of open problems and of a basic variational problem, connected to random multimatrix models.

Related Organizations
Keywords

Measures of information, entropy, Mathematics - Operator Algebras, Primary: 46L54, Random operators and equations (aspects of stochastic analysis), random matrix theory, variational problem, Free probability and free operator algebras, Primary: 46L54; Secondary: 47B80, 60H25, 94A17, free entropy, Secondary: 47B80, 60H25, 94A17, FOS: Mathematics, Research exposition (monographs, survey articles) pertaining to functional analysis, Operator Algebras (math.OA), Random linear operators, free probability theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
54
Top 10%
Top 10%
Average
Green