On disordered phase in the ferromagnetic Potts model on the Bethe lattice

where the sum is taken over all pairs of the nearest neighbors (jc, >>), 0. P. M. Bleher [1] proved that the disordered Phase in the ferromagnetic Ising model on the Bethe lattice is extreme for T > Γc, where Tc is the critical temperature of the spin glass model on the Bethe lattice, and it is not extreme for T < Tc. Denote θ = exp(//Γ). The main result of this paper is the following theorem

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