Orbital free pressure and its Legendre transform

Abstract

Orbital counterparts of the free pressure and its Legendre transform (or $\eta$-entropy) are introduced and studied in comparison with other entropy quantities in free probability theory and in relation to random multi-matrix models.

v2; 23 pages; to appear in CMP

References in corpus (4)

• Combinatorial aspects of matrix models
• Factoriality, type classification and fullness for free product von Neumann algebras
• Orbital free entropy, revisited
• Unbounded derivations, free dilations and indecomposability results for II${}_1$ factors

Cited by in corpus (1)

• Matrix liberation process II: Relation to orbital free entropy