Analogues of entropy in bi-free probability theory: Non-microstate
نویسندگان
چکیده
منابع مشابه
Notes on Microstate Free Entropy of Projections
We study the microstate free entropy χproj(p1, . . . , 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 ...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2020
ISSN: 0001-8708
DOI: 10.1016/j.aim.2020.107367