A second threshold for the hard-core model on a Bethe lattice
Brightwell, G.
& Winkler, P.
(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.
& Winkler, P.
(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.
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.