The Process of Mutant Ancestors

Abstract

Under this heading we will be concerned by some applications of what can be called the stable pedigree calculus. By this we mean that we consider some functionals of the pedigree of a randomly sampled individual (from a very old well behaved branching process) written in the terminology of the preceding chapter. Those functionals are such that the same results are valid under P̃ as under P̃ _l (see Chapter Five). For that reason it is motivated to call the randomly sampled individual RSI according to the convention of the preceding chapter. Occasionally, the precise limit theorems formulated in terms of the underlying process will be given.