A second threshold for the hard‐core model on a Bethe lattice
Graham BrightwellDepartment of Mathematics, London School of Economics, Houghton Street, London WC2A 2AE, United KingdomPeter Winkler
2004en
ABI
Abstract
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 using only statistical information about distant sites. © 2004 Wiley Periodicals, Inc. Random Struct. Alg., 2004
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