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

Brightwell, G.ORCID logo & Winkler, P. (2004). A second threshold for the hard-core model on a Bethe lattice. Random Structures & Algorithms, 24(3), 303-314. https://doi.org/10.1002/rsa.20006
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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
Copyright holders 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 in
Departments LSE > Academic Departments > Mathematics
DOI 10.1002/rsa.20006
Date Deposited 16 Jun 2006
URI https://researchonline.lse.ac.uk/id/eprint/218

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