\input zb-basic \input zb-ioport \iteman{io-port 05868771} \itemau{Hiai, Fumio; Miyamoto, Takuho} \itemti{A new approach to mutual information. II.} \itemso{Bo\D zejko, Marek (ed.) et al., Noncommutative harmonic analysis with applications to probability. II: Papers presented at the 11th workshop, B\c edlewo, Poland, August 17--23, 2008. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-08-9/pbk). Banach Center Publications 89, 143-163 (2010).} \itemcc{} \itemut{mutual information; pressure; mutual pressure; Boltzmann-Gibbs entropy; Shannon entropy; relative entropy; micro-state; type; Sanove theorem} \itemli{doi:10.4064/bc89-0-9} \end