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Limit-Theorems for Sums of Dependent Random-Variables Occurring In Statistical-Mechanics .2. Conditioning, Multiple Phases, and Metastability

RS Ellis, University of Massachusetts - Amherst
CM Newman
JS Rosen

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The published version is located at http://www.math.umass.edu/~rsellis/pdf-files/limit-theorems-enr.pdf

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.

Suggested Citation

RS Ellis, CM Newman, and JS Rosen. "Limit-Theorems for Sums of Dependent Random-Variables Occurring In Statistical-Mechanics .2. Conditioning, Multiple Phases, and Metastability" Zeitschrift Fur Wahrscheinlichkeitstheorie Und Verwandte Gebiete 51.2 (1980): 153-169.
Available at: http://works.bepress.com/richard_ellis/8



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