LIMIT-THEOREMS FOR SUMS OF DEPENDENT RANDOM-VARIABLES OCCURRING IN STATISTICAL-MECHANICS .2. CONDITIONING, MULTIPLE PHASES, AND METASTABILITY
Publication Date
1980
Journal or Book Title
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE
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.
Pages
153-169
Volume
51
Issue
2
Recommended Citation
Ellis, RS; NEWMAN, CM; and ROSEN, JS, "LIMIT-THEOREMS FOR SUMS OF DEPENDENT RANDOM-VARIABLES OCCURRING IN STATISTICAL-MECHANICS .2. CONDITIONING, MULTIPLE PHASES, AND METASTABILITY" (1980). ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE. 364.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/364
Comments
The published version is located at http://www.math.umass.edu/~rsellis/pdf-files/limit-theorems-enr.pdf