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

Brightwell, Graham and Winkler, Peter (2003) A second threshold for the hard-core model on a Bethe lattice. CDAM research report series, LSE-CDAM-2003-05. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

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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: Monograph (Report)
Official URL: http://www.cdam.lse.ac.uk
Additional Information: © 2003 the authors
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
Identification Number: LSE-CDAM-2003-05
Date Deposited: 11 Dec 2008 11:28
URL: http://eprints.lse.ac.uk/13441/

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