Orbital approach to microstate free entropy

Fumio Hiai, Takuho Miyamoto, Yoshimichi Ueda

研究成果: ジャーナルへの寄稿記事

10 引用 (Scopus)

抄録

Motivated by Voiculescu's liberation theory, we introduce the orbital free entropy χorb for non-commutative self-adjoint random variables (also for "hyperfinite random multi-variables"). Besides its basic properties, the relation of χorb with the usual free entropy χ is shown. Moreover, the dimension counterpart δ0,orb of χorb is discussed, and we obtain the relation between δ0,orb and the original free entropy dimension δ0 together with applications to δ0 itself.

元の言語英語
ページ(範囲)227-273
ページ数47
ジャーナルInternational Journal of Mathematics
20
発行部数2
DOI
出版物ステータス出版済み - 2 1 2009

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Free Entropy
Random variable

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

これを引用

Orbital approach to microstate free entropy. / Hiai, Fumio; Miyamoto, Takuho; Ueda, Yoshimichi.

:: International Journal of Mathematics, 巻 20, 番号 2, 01.02.2009, p. 227-273.

研究成果: ジャーナルへの寄稿記事

Hiai, Fumio ; Miyamoto, Takuho ; Ueda, Yoshimichi. / Orbital approach to microstate free entropy. :: International Journal of Mathematics. 2009 ; 巻 20, 番号 2. pp. 227-273.
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