Spatial Mixing (Decay of Correlation) marginal distribution at vertex v conditioning on weak spatial mixing（WsM)at rateδ()： ∀o,T∈[gA:lμg-lTv≤(distc(w,△) strong spatial mixing(SSM)at rateδ()： Vo,T∈[g]that differ on△：lμg-utTv≤(distc(v,△) SSM dist(v,△) marginal probabilities are well approximated by the local informationSpatial Mixing (Decay of Correlation) strong spatial mixing (SSM) at rate δ( ): weak spatial mixing (WSM) at rate δ( ): µ￾ v : marginal distribution at vertex v conditioning on σ SSM marginal probabilities are well approximated by the local information G v dist(v,Δ) Δ Λ\Δ weak spatial mixing (WSM) at rate δ( ): 8￾, ⌧ 2 [q] ⇤ : kµ￾ v ￾ µ⌧ v kT V  ￾(distG(v,⇤)) kµ￾ v ￾ µ⌧ 8￾, ⌧ 2 [q] v kT V  ￾(distG(v, ￾)) ⇤ that differ on Δ: