@article{oai:nagoya.repo.nii.ac.jp:00028434,
author = {HIAI, FUMIO and MIYAMOTO, TAKUHO and UEDA, YOSHIMICHI},
issue = {02},
journal = {International Journal of Mathematics},
month = {},
note = {Motivated by Voiculescu's liberation theory, we introduce the orbital free entropy χorb for non-commutative self-adjoint random variables (also for "hyperfinite random multi-variables"). Besides its basic properties, the relation of χorb with the usual free entropy χ is shown. Moreover, the dimension counterpart δ0,orb of χorb is discussed, and we obtain the relation between δ0,orb and the original free entropy dimension δ0 together with applications to δ0 itself.},
pages = {227--273},
title = {ORBITAL APPROACH TO MICROSTATE FREE ENTROPY},
volume = {20},
year = {2009}
}