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arXiv · 0906.0291

Branching Brownian motion: Almost sure growth along scaled paths

Simon Harris·Matthew Roberts
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Abstract

We give a proof of a result on the growth of the number of particles along chosen paths in a branching Brownian motion. The work follows the approach of classical large deviations results, in which paths in $C[0,1]$ are rescaled onto $C[0,T]$ for large $T$. The methods used are probabilistic and take advantage of modern spine techniques.

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Simon Harris, Matthew Roberts. 2010-04-21. Branching Brownian motion: Almost sure growth along scaled paths. https://arxiv.org/abs/0906.0291

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