Large Deviations and Microstate Free Relative Entropy

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概要

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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.

• 東北大学の論文

著者

• MIZUO Masaru

  Graduate School of Information Sciences Tohoku University

• MIZUO Masaru

  Graduate School of Information Sciences, Tohoku University

関連論文

• Free relative entropy for measures and a corresponding perturbation theory
• Large Deviations and Microstate Free Relative Entropy
• Noncommutative Sobolev Spaces, $C^\infty$ Algebras and Schwartz Distributions Associated with Semicircular Systems

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