Article
LIMIT-THEOREMS FOR SUMS OF DEPENDENT RANDOM-VARIABLES OCCURRING IN STATISTICAL-MECHANICS .2. CONDITIONING, MULTIPLE PHASES, AND METASTABILITY
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE
Publication Date
1980
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.
Disciplines
Pages
153-169
Citation Information
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 Vol. 51 Iss. 2 (1980) Available at: http://works.bepress.com/richard_ellis/8/
The published version is located at http://www.math.umass.edu/~rsellis/pdf-files/limit-theorems-enr.pdf