... wire.1
It may seem like the probability of a nucleation event must depend on the previous events since the available fraction of untransformed wire (for the occurrence of a nucleation event) is a decreasing function of time. However, such considerations will not affect our result since any nucleation event which would have occurred inside a time cone (representing the transformed region of a previous event) will have its time cone lying completely inside the former. Since we are looking the probability of untransformed wire, such `ghost' nucleation events cannot change our results.
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