Moment inequalities for ferromagnetic Gibbs distributions

Research output: Contribution to journalArticle

Abstract

Moment inequalities analogous to Khintchine's inequality (for sums of independent Bernoulli random variables) are obtained for a certain class of random variables which naturally arises in the context of ferromagnetic Ising models and φ4 Euclidean (quantum) field models in a positive external field. These results extend ones obtained previously which applied only to the mean zero (vanishing external field) case.

Original languageEnglish (US)
Pages (from-to)1956-1959
Number of pages4
JournalJournal of Mathematical Physics
Volume16
Issue number9
DOIs
StatePublished - 1974

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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