Advanced Search
Home > Journals > Braz. J. Probab. Stat. > Volume 24 > Issue 2 > Article
Open Access
July 2010 Gibbs–non-Gibbs properties for n-vector lattice and mean-field models
Aernout C. D. van Enter, Christof Külske, Alex A. Opoku, Wioletta M. Ruszel
Braz. J. Probab. Stat. 24(2): 226-255 (July 2010). DOI: 10.1214/09-BJPS029

Abstract

We review some recent developments in the study of Gibbs and non-Gibbs properties of transformed n-vector lattice and mean-field models under various transformations. Also, some new results for the loss and recovery of the Gibbs property of planar rotor models during stochastic time evolution are presented.

Citation

Download Citation

Aernout C. D. van Enter. Christof Külske. Alex A. Opoku. Wioletta M. Ruszel. "Gibbs–non-Gibbs properties for n-vector lattice and mean-field models." Braz. J. Probab. Stat. 24 (2) 226 - 255, July 2010. https://doi.org/10.1214/09-BJPS029

Information

Published: July 2010
First available in Project Euclid: 20 April 2010

zbMATH: 1200.82015
MathSciNet: MR2643565
Digital Object Identifier: 10.1214/09-BJPS029

Keywords: cluster expansion , Dobrushin uniqueness , Gibbs measures , non-Gibbsian measures , n-vector lattice models , n-vector mean-field models , spin-flop transitions , transformed model

Rights: Copyright © 2010 Brazilian Statistical Association

JOURNAL ARTICLE
 30 PAGES
DOWNLOAD PDF + SAVE TO MY LIBRARY
GET CITATION
< Previous Article
|
Next Article >
Vol.24 • No. 2 • July 2010
Brazilian Statistical Association
Subscribe to Project Euclid
Receive erratum alerts for this article
Back to Top