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

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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.

Original language	English
Pages (from-to)	239-249
Number of pages	11
Journal	Annales de l'institut Henri Poincare (B) Probability and Statistics
Volume	45
Issue number	1
DOIs	https://doi.org/10.1214/08-AIHP164
Publication status	Published - Feb 2009

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/08-AIHP164

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

Abstract

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