Limit theorems for the empirical vector of the Curie-Weiss-Potts model

Richard S. Ellis and Kongming Wang

Stochastic Processes and their Applications, 1990, vol. 35, issue 1, 59-79

Abstract: The law of large numbers and its breakdown, the central limit theorem, a central limit theorem with conditioning, and a central limit theorem with random centering are proved for the empirical vector of the Curie-Weiss-Potts model, which is a model in statistical mechanics. The nature of the limits reflects the phase transition in the model.

Keywords: empirical; vector; Curie-Weiss-Potts; model; law; of; large; numbers; central; limit; theorem (search for similar items in EconPapers)
Date: 1990
References: Add references at CitEc
Citations: View citations in EconPapers (7)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0304-4149(90)90122-9
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:35:y:1990:i:1:p:59-79

Ordering information: This journal article can be ordered from
http://http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Stochastic Processes and their Applications is currently edited by T. Mikosch

More articles in Stochastic Processes and their Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().