Free analog of pressure and its Legendre transform

Abstract

The free analog of the pressure is introduced for multivariate noncommutative random variables and its Legendre transform is compared with Voiculescu's microstate free entropy.

Slightly corrected in April 2004

References in corpus (2)

• Invariant means and finite representation theory of C*-algebras
• First order asymptotics of matrix integrals ; a rigorous approach towards the understanding of matrix models

Cited by in corpus (5)

• A Note about proving non-$\Gamma$ under a finite non-microstates free Fisher information Assumption
• Notes on microstate free entropy of projections
• Free transportation cost inequalities for non-commutative multi-variables
• Orbital free pressure and its Legendre transform
• Concavification of free entropy