Limit theorems for sums of dependent random variables occurring in statistical mechanics - II. Conditioning, multiple phases, and metastability

Richard S. Ellis, Charles M. Newman, Jay S. Rosen

Research output: Contribution to journalArticlepeer-review

Abstract

By the use of conditioning, we extend previously obtained results on the asymptotic behavior of partial sums for certain triangular arrays of dependent random variables, known as Curie-Weiss models. These models arise naturally in statistical mechanics. The relation of these results to multiple phases, metastable states, and other physical phenomena is explained.

Original languageEnglish (US)
Pages (from-to)153-169
Number of pages17
JournalZeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
Volume51
Issue number2
DOIs
StatePublished - Jan 1980

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Mathematics(all)

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