Displaying similar documents to “The microstates free entropy dimension of any DT--operator is 2.”

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

Fumio Hiai, Yoshimichi Ueda (2009)

Annales de l'I.H.P. Probabilités et statistiques

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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.

Voiculescu’s Entropy and Potential Theory

Thomas Bloom (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

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We give a new proof, relying on polynomial inequalities and some aspects of potential theory, of large deviation results for ensembles of random hermitian matrices.