P.M. Bleher, J. Ruiz, V.A. Zagrebnov.
On the Purity of  the Limiting Gibbs State for the Ising  model on the
Bethe Lattice.
(19K, TeX)

ABSTRACT.  We give a proof that for the Ising model on the Bethe lattice, 
the limiting Gibbs state 
with zero effective field (disordered state) 
persists to be pure for temperature below ferromagnetic critical
temperature
$T_c^F$ till the critical temperature $T_c^{SG}$ 
of the corresponding spin-glass model.
This new proof revises the one proposed in [1].