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Branching Brownian motion: Almost sure growth along unscaled paths

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Publication:6211581

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arXiv0811.1704MaRDI QIDQ6211581

Author name not available (Why is that?)

Publication date: 11 November 2008

Abstract: We give new results on the growth of the number of particles in a dyadic branching Brownian motion which follow within a fixed distance of a path

f : [0, i n f t y) o m a t h b b R

. We show that it is possible to count the number of particles without rescaling the paths. Our results reveal that the number of particles along certain paths can oscillate dramatically. The methods used are entirely probabilistic, taking advantage of the spine technique developed by, amongst others, Lyons et al, Kyprianou, and Hardy & Harris.

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