TITLE

Multi-Information in the Thermodynamic Limit

AUTHOR(S)
Erb, Ionas; Ay, Nihat
PUB. DATE
May 2004
SOURCE
Journal of Statistical Physics;May2004, Vol. 115 Issue 3/4, p949
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A multivariate generalization of mutual information, multi-information, is defined in the thermodynamic limit. The definition takes phase coexistence into account by taking the infimum over the translation-invariant Gibbs measures of an interaction potential. It is shown that this infimum is attained in a pure state. An explicit formula can be found for the Ising square lattice, where the quantity is proved to be maximized at the phase-transition point. By this, phase coexistence is linked to high model complexity in a rigorous way.
ACCESSION #
16764633

 

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