Interdisciplinary Information Sciences
Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050
Large Deviations and Microstate Free Relative Entropy
Masaru MIZUO
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2000 年 6 巻 2 号 p. 111-121

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Voiculescu’s single variable free entropy is generalized to the free relative entropy in the microstate approach, and the integral representation of the free relative entropy is obtained by large deviation results for random matrices. It is also shown that the free relative entropy shares common properties of the classical relative entropy.

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© 2000 by the Graduate School of Information Sciences (GSIS), Tohoku University

This article is licensed under a Creative Commons [Attribution 4.0 International] license.
https://creativecommons.org/licenses/by/4.0/
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