English

The many-to-few lemma and multiple spines

Probability 2014-09-12 v4

Abstract

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

Keywords

Cite

@article{arxiv.1106.4761,
  title  = {The many-to-few lemma and multiple spines},
  author = {Simon C. Harris and Matthew I. Roberts},
  journal= {arXiv preprint arXiv:1106.4761},
  year   = {2014}
}

Comments

17 pages, 1 figure. Update: major rewrite

R2 v1 2026-06-21T18:26:39.885Z