Tree Recurrence hardcore model:a-日】b-l T Occupancy ratio: X~uT[Xv=0G] T 所会 PrX~ur [Xo=1|0] d 1 =II i=1 R9+1
Ti v vi T hardcore model: Tree Recurrence i R T = Y d i=1 1 Ri Ti + 1 A = 0 1 1 1 b = 1 Occupancy ratio: R T , PrX⇠µT [Xv = 0 | ] PrX⇠µT [Xv = 1 | ]
PrI is occupied by I] ZG(v is occupied) P is unoceupied by ZG(v is unoccupied) G
v ui G Rv = PrI⇠µG [v is occupied by I] PrI⇠µG [v is unoccupied by I] = ZG(v is occupied) ZG(v is unoccupied)