A new expression as a certain asymptotic limit via "discrete micro-states" of permutations is provided for the mutual information of both continuous and discrete random variables.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-11,
author = {Fumio Hiai and D\'enes Petz},
title = {A new approach to mutual information},
journal = {Banach Center Publications},
volume = {75},
year = {2007},
pages = {151-164},
zbl = {05235290},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-11}
}
Fumio Hiai; Dénes Petz. A new approach to mutual information. Banach Center Publications, Tome 75 (2007) pp. 151-164. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-11/