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Free Entropy
Author(s) -
Voiculescu Dan
Publication year - 2002
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609301008992
Subject(s) - mathematics , free probability , von neumann entropy , joint quantum entropy , entropy (arrow of time) , quantum relative entropy , von neumann architecture , random matrix , maximum entropy probability distribution , conditional quantum entropy , entropy in thermodynamics and information theory , statistical physics , pure mathematics , maximum entropy thermodynamics , principle of maximum entropy , statistics , quantum entanglement , quantum mechanics , quantum discord , quantum , eigenvalues and eigenvectors , physics
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.