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

By Graham Brightwell and Peter Winkler


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

Topics: QA Mathematics
Publisher: Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science
Year: 2003
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Provided by: LSE Research Online
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