Notes on Microstate Free Entropy of Projections
Fumio Hiai, Yoshimichi Ueda
Source record
Source: Crossref
Published: Mar 31, 2008
DOI: 10.2977/prims/1207921076
Open original source ↗Source abstract
We study the microstate free entropy χproj(_p_1 , . . . , pn ) of projections, and establish its basic properties similar to the self-adjoint variable case. Our main contribution is to characterize the pair-block freeness of projections by the additivity of χproj (Theorem 4.1), in the proof of which a transportation cost inequality plays an important role. We also briefly discuss the free pressure in relation to χproj.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.