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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}}