Finite modification of Bernoulli percolation

ID: finite-modification-of-bernoulli-percolation

For , every prescribed state pattern on a finite edge set has positive conditional probability given all exterior states: independence makes it for prescribed open and 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.

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