Two-State Spin System graph G=(V,E)2 states {0,1) configuration o:V→{0,l} A- := weight:w()=]I A().() (u,v)∈E w(o) Gibbs measure: 4(o)= ZAG partition function: Z4(G)=〉(o) o∈{0,1}VTwo-State Spin System A = A0,0 A0,1 A1,0 A1,1 = 1 1 graph G=(V,E) 2 states {0,1} weight: w() = (u,v)E A(u),(v) Gibbs measure: µ() = w() ZA(G) ZA(G) = {0,1}V partition function: w() configuration : V {0, 1}