Survival Probabilities for N-ary Subtrees on a Galton-Watson Family Tree

Mathematics – Probability

Scientific paper

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9 pages, no figures

Scientific paper

The family tree of a Galton-Watson branching process may contain N-ary
subtrees, i.e. subtrees whose vertices have at least N>0 children. For family
trees without infinite N-ary subtrees, we study how fast N-ary subtrees of
height t disappear as t goes to infinity.

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