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May 1997 Detecting phase transition for Gibbs measures
Francis Comets
Ann. Appl. Probab. 7(2): 545-563 (May 1997). DOI: 10.1214/aoap/1034625344

Abstract

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.

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Francis Comets. "Detecting phase transition for Gibbs measures." Ann. Appl. Probab. 7 (2) 545 - 563, May 1997. https://doi.org/10.1214/aoap/1034625344

Information

Published: May 1997
First available in Project Euclid: 14 October 2002

zbMATH: 0882.60047
MathSciNet: MR1442326
Digital Object Identifier: 10.1214/aoap/1034625344

Subjects:
Primary: 60G60
Secondary: 60F10 , 62M30 , 82B26

Keywords: Gibbs measures , large deviations , Markov random fields , phase transition

Rights: Copyright © 1997 Institute of Mathematical Statistics

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Vol.7 • No. 2 • May 1997
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