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Two-State Spin System graph G=(V,E 2 states {0,1) configuration V->{0,1} 4-[=日 b=(b0,b1)=(入,1) w(o)=ΠAgu.a(wΠba) (u,v)∈E u∈V Gibbs measure: Pr(a)= w(o) Z(G) partition function: ZG )=入w(o)》 o∈{0,1}VTwo-State Spin System A = ￾ A0,0 A0,1 A1,0 A1,1 ￾ = ￾ ￾ 1 1 ￾ ￾ 2 states {0,1} configuration ￾ : V ￾ {0, 1} graph G=(V,E) w(￾) = ￾ (u,v)￾E A￾(u),￾(v) ￾ v￾V b￾(v) Gibbs measure: = ￾ ￾￾{0,1}V partition function: Z(G) w(￾) 8Z(￾) = w(￾) Z(G) b = (b0, b1)=(￾, 1)
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