= Finite modification of Bernoulli percolation
For $0<p<1$, every prescribed state pattern on a finite <edge> <set> has positive conditional <probability> given all exterior states: <independence> makes it $p^a(1-p)^b$ for $a$ prescribed open and $b$ prescribed closed <edges>. Thus a positive-probability exterior event remains possible after any finite local surgery. This is the <finite-energy property of Bernoulli percolation>, and applies equally to <dual bond percolation>.
Back to article page
