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

doi:10.1007/BF00536186

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

Mathematics

Research output: Contribution to journal › Article

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 language	English (US)
Pages (from-to)	153-169
Number of pages	17
Journal	Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
Volume	51
Issue number	2
DOIs	https://doi.org/10.1007/BF00536186
State	Published - Jan 1 1980

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ASJC Scopus subject areas

Analysis
Statistics and Probability
Mathematics(all)

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Ellis, R. S., Newman, C. M., & Rosen, J. S. (1980). Limit theorems for sums of dependent random variables occurring in statistical mechanics - II. Conditioning, multiple phases, and metastability. Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, 51(2), 153-169. https://doi.org/10.1007/BF00536186

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10.1007/BF00536186