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 | |
| State | Published - Jan 1980 |
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ASJC Scopus subject areas
- Statistics and Probability
- Analysis
- Mathematics(all)
Cite this
Limit theorems for sums of dependent random variables occurring in statistical mechanics - II. Conditioning, multiple phases, and metastability. / Ellis, Richard S.; Newman, Charles M.; Rosen, Jay S.
In: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, Vol. 51, No. 2, 01.1980, p. 153-169.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Limit theorems for sums of dependent random variables occurring in statistical mechanics - II. Conditioning, multiple phases, and metastability
AU - Ellis, Richard S.
AU - Newman, Charles M.
AU - Rosen, Jay S.
PY - 1980/1
Y1 - 1980/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0039989815&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0039989815&partnerID=8YFLogxK
U2 - 10.1007/BF00536186
DO - 10.1007/BF00536186
M3 - Article
AN - SCOPUS:0039989815
VL - 51
SP - 153
EP - 169
JO - Probability Theory and Related Fields
JF - Probability Theory and Related Fields
SN - 0178-8051
IS - 2
ER -