A new approach to mutual information. II

Fumio Hiai; Takuho Miyamoto

Banach Center Publications (2010)

  • Volume: 89, Issue: 1, page 143-163
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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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 -

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