A strong law of large numbers for branching processes: almost sure spine events
@article{ECP2641,
author = {Simon Harris and Matthew Roberts},
title = {A strong law of large numbers for branching processes: almost sure spine events},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {19},
year = {2014},
keywords = {branching processes, spines, martingales, strong law},
abstract = {We demonstrate a novel strong law of large numbers for branching processes, with a simple proof via measure-theoretic manipulations and spine theory. Roughly speaking, any sequence of events that eventually occurs almost surely for the spine entails the almost sure convergence of a certain sum over particles in the population.
},
pages = {no. 28, 1-6},
issn = {1083-589X},
doi = {10.1214/ECP.v19-2641},
url = {http://ecp.ejpecp.org/article/view/2641}}