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A second threshold for the hard-core model on a Bethe lattice

Brightwell, Graham and Winkler, P. (2004) A second threshold for the hard-core model on a Bethe lattice. Random Structures and Algorithms, 24 (3). pp. 303-314. ISSN 1098-2418

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Abstract

We determine the approximate value of a critical activity for the hard-core model on the Bethe lattice, which determines whether the unique simple invariant Gibbs measure is extremal. This recovery threshold turns out to be different both from the threshold for unique Gibbs measure and (in contrast to the Ising model) from the threshold for recovery of root information purely from statistical information about distant sites.

Item Type: Article
Official URL: http://www3.interscience.wiley.com/cgi-bin/jhome/3...
Additional Information: A second threshold for the hard-core model on a Bethe lattice. Graham Brightwell and Peter Winkler. Random Structures and Algorithms 24(3). Copyright © 2004 Wiley Periodicals, Inc. Articles available via LSE Research Articles Online are protected under intellectual property law, including copyright law. Any use made of the contents should comply with the relavant law. A persistent link to the article is available at http://dx.doi.org/10.1002/rsa.20006
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Departments > Mathematics
Research centres and groups > Computational, Discrete and Applicable Mathematics@LSE (CDAM)
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 16 Jun 2006
URL: http://eprints.lse.ac.uk/218/

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