A log-Sobolev type inequality for free entropy of two projections

Fumio Hiai; Yoshimichi Ueda

doi:10.1214/08-AIHP164

A log-Sobolev type inequality for free entropy of two projections

Fumio Hiai
, Yoshimichi Ueda

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

10 被引用数 (Scopus)

抄録

We prove a kind of logarithmic Sobolev inequality claiming that the mutual free Fisher information dominates the microstate free entropy adapted to projections in the case of two projections.

本文言語	英語
ページ（範囲）	239-249
ページ数	11
ジャーナル	Annales de l'institut Henri Poincare (B) Probability and Statistics
巻	45
号	1
DOI	https://doi.org/10.1214/08-AIHP164
出版ステータス	出版済み - 2月 2009

!!!All Science Journal Classification (ASJC) codes

統計学および確率
統計学、確率および不確実性

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10.1214/08-AIHP164

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title = "A log-Sobolev type inequality for free entropy of two projections",

abstract = "We prove a kind of logarithmic Sobolev inequality claiming that the mutual free Fisher information dominates the microstate free entropy adapted to projections in the case of two projections.",

keywords = "Free entropy, Logarithmic Sobolev inequality, Mutual free Fisher information",

author = "Fumio Hiai and Yoshimichi Ueda",

year = "2009",

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language = "English",

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T1 - A log-Sobolev type inequality for free entropy of two projections

AU - Hiai, Fumio

AU - Ueda, Yoshimichi

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N2 - We prove a kind of logarithmic Sobolev inequality claiming that the mutual free Fisher information dominates the microstate free entropy adapted to projections in the case of two projections.

AB - We prove a kind of logarithmic Sobolev inequality claiming that the mutual free Fisher information dominates the microstate free entropy adapted to projections in the case of two projections.

KW - Free entropy

KW - Logarithmic Sobolev inequality

KW - Mutual free Fisher information

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UR - https://www.scopus.com/pages/publications/77952080991#tab=citedBy

U2 - 10.1214/08-AIHP164

DO - 10.1214/08-AIHP164

M3 - Article

AN - SCOPUS:77952080991

SN - 0246-0203

VL - 45

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JO - Annales de l'institut Henri Poincare (B) Probability and Statistics

JF - Annales de l'institut Henri Poincare (B) Probability and Statistics

IS - 1

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A log-Sobolev type inequality for free entropy of two projections

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!!!All Science Journal Classification (ASJC) codes

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