Gibbs Distribution G=V,E) ·q≥2 spin states ·each v∈V,distribution b,:[q]→[0，l] Ae·each e∈E,symmetric A:[q]2→[0，l] ∀configuration o∈[glV: w(o)=A(o,o,)Πb,(o,） e={u,v}∈E v∈V Gibbs distribution:u(o)= where Z= Z ∑w(o) aElg]vGibbs Distribution w(σ) = ∏ e={u,v}∈E Ae (σu, σv)∏ v∈V bv (σv) e v bv Ae G = (V, E) • spin states • each , distribution • each , symmetric q ≥ 2 v ∈ V bv : [q] → [0,1] e ∈ E Ae : [q] 2 → [0,1] ∀configuration σ ∈ [q] V : Gibbs distribution: μ(σ) = where w(σ) Z Z = ∑ σ∈[q] V w(σ)