The analogues of entropy and of Fisher's information measure in free probability theory. I
type: Item
instance of: scholarly article
title: The analogues of entropy and of Fisher's information measure in free probability theory. I
zbMATH Open document ID: 0781.60006
DOI: 10.1007/BF02100050
published in: Communications in Mathematical Physics
publication date: 1993-12-08T00:00:00Z
Mathematics Subject Classification ID: 60A99
Mathematics Subject Classification ID: 94A17
zbMATH DE Number: 459089
zbMATH Keywords: Fisher information measure
zbMATH Keywords: monotonicity properties
zbMATH Keywords: Cramér-Rao inequality
author: Dan Voiculescu
MaRDI profile type: Publication
cites work: Q5737276
cites work: Random matrices and information theory
cites work: Entropy and the central limit theorem
cites work: Lévy-Hinčin type theorems for multiplicative and additive free convolution
cites work: Q4285023
cites work: Entropy production by block variable summation and central limit theorems
cites work: Q3660033
cites work: On certain free product factors via an extended matrix model
cites work: Q3922907
cites work: Interaction in multidimensional contingency tables: an information theoretic approach
cites work: Q5666837
cites work: Convex trace functions and the Wigner-Yanase-Dyson conjecture
cites work: Addition of freely independent random variables
cites work: Q4221096
cites work: Asymptotically free families of random unitaries in symmetric groups
cites work: Q3671706
cites work: Q5564295
cites work: Some inequalities satisfied by the quantities of information of Fisher and Shannon
cites work: Q3259806
cites work: Addition of certain non-commuting random variables
cites work: Q3811203
cites work: Limit laws for random matrices and free products
cites work: Q3972929
cites work: Q4249424
cites work: Characteristic vectors of bordered matrices with infinite dimensions
cites work: On the distribution of the roots of certain symmetric matrices
full work available at URL: https://doi.org/10.1007/bf02100050
OpenAlex ID: W3137236802
description: scientific article; zbMATH DE number 459089