Correlation inequalities for Ising spin lattices

J. K. Percus

Research output: Contribution to journalArticlepeer-review


A change of spin representation is used to present expectation inequalities on Ising lattices directly as sums of terms of like sign. The technique is extended to correlation inequalities by introducing replica variables which convert correlations into expectations on a larger space. Second order correlations are analyzed in full from this viewpoint, recovering the FKG set, among others. Third order correlations are examined in some detail, and the sign of the multi-site Ursell correlations F3, F4, F6 established under appropriate restrictions.

Original languageEnglish (US)
Pages (from-to)283-308
Number of pages26
JournalCommunications In Mathematical Physics
Issue number3
StatePublished - Oct 1975

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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