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A generating function is a way of encoding an infinite sequence of numbers by treating them as the coefficients of a formal power series. Tag questions involving generating functions in this.

5 votes
1 answer
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Meaningful interpretation for fixed point of a probability generating function

Suppose $f$ is the probability generating function for the Galton-Watson branching process. What intuition makes the fact that $f(s) = s$ is the probability of extinction obvious? Moreover, can one f …