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A new concept of mutual pressure is introduced for potential functions on both continuous and discrete compound spaces via discrete micro-states of permutations, and its relations with the usual pressure and the mutual information are established. This paper is a continuation of the paper of Hiai and Petz in Banach Center Publications, Vol. 78.
Fumio Hiai, and Takuho Miyamoto. "A new approach to mutual information. II." Banach Center Publications 89.1 (2010): 143-163. <http://eudml.org/doc/282046>.
@article{FumioHiai2010, abstract = {A new concept of mutual pressure is introduced for potential functions on both continuous and discrete compound spaces via discrete micro-states of permutations, and its relations with the usual pressure and the mutual information are established. This paper is a continuation of the paper of Hiai and Petz in Banach Center Publications, Vol. 78.}, author = {Fumio Hiai, Takuho Miyamoto}, journal = {Banach Center Publications}, keywords = {mutual information; pressure; mutual pressure; Boltzmann-Gibbs entropy; Shannon entropy; relative entropy; micro-state; type; Sanove theorem}, language = {eng}, number = {1}, pages = {143-163}, title = {A new approach to mutual information. II}, url = {http://eudml.org/doc/282046}, volume = {89}, year = {2010}, }
TY - JOUR AU - Fumio Hiai AU - Takuho Miyamoto TI - A new approach to mutual information. II JO - Banach Center Publications PY - 2010 VL - 89 IS - 1 SP - 143 EP - 163 AB - A new concept of mutual pressure is introduced for potential functions on both continuous and discrete compound spaces via discrete micro-states of permutations, and its relations with the usual pressure and the mutual information are established. This paper is a continuation of the paper of Hiai and Petz in Banach Center Publications, Vol. 78. LA - eng KW - mutual information; pressure; mutual pressure; Boltzmann-Gibbs entropy; Shannon entropy; relative entropy; micro-state; type; Sanove theorem UR - http://eudml.org/doc/282046 ER -