DETECTING PHASE TRANSITION FOR GIBBS MEASURES
成果类型:
Article
署名作者:
Comets, Francis
署名单位:
University of California System; University of California Irvine
刊物名称:
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN:
1050-5164
发表日期:
1997
页码:
545-563
关键词:
摘要:
We propose a new empirical procedure for detecting phase transition from a single sample of a Gibbs-Markov random field. The method is based on frequencies for large deviations when the whole sample is divided in smaller blocks and estimates for the rate function. We relate our approach to an almost sure large deviation principle.