The many-to-few lemma and multiple spines

Mathematics – Probability

Scientific paper

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13 pages, 1 figure. Update: removed examples, corrected mistake in Lemma 3 when zeta hits 0, other minor changes

Scientific paper

We develop a simple and intuitive identity for calculating expectations of
weighted $k$-fold sums over particles in branching processes, generalising the
well-known many-to-one lemma.

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