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 › peer-review

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 1980

ASJC Scopus subject areas

Analysis
Statistics and Probability
General Mathematics

Access to Document

10.1007/BF00536186

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 › peer-review

@article{2d2f6c7d07e14d9a998fe57e0f79b585,

title = "Limit theorems for sums of dependent random variables occurring in statistical mechanics - II. Conditioning, multiple phases, and metastability",

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.",

author = "Ellis, {Richard S.} and Newman, {Charles M.} and Rosen, {Jay S.}",

year = "1980",

month = jan,

doi = "10.1007/BF00536186",

language = "English (US)",

volume = "51",

pages = "153--169",

journal = "Zeitschrift f{\"u}r Wahrscheinlichkeitstheorie und Verwandte Gebiete",

issn = "0044-3719",

publisher = "Springer New York",

number = "2",

}

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

SN - 0044-3719

VL - 51

SP - 153

EP - 169

JO - Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete

JF - Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete

IS - 2

ER -

Limit theorems for sums of dependent random variables occurring in statistical mechanics - II. Conditioning, multiple phases, and metastability

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this