聖塔非研究所

摘要 A multivariate generalization of mutual 資訊, multi

2004 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 A multivariate generalization of mutual 資訊, multi 資訊, is defined in the 熱力學 limit. The definition takes phase coexistence into account by taking the infimum over the translation invariant…

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論文資訊

  • 類型:已發表論文
  • 日期:2004

摘要

A multivariate generalization of mutual 資訊, multi-資訊, is defined in the 熱力學 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.

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