Branching Brownian motion: Almost sure growth along scaled paths

Reference:

Harris, S. C. and Roberts, M. I., 2012. Branching Brownian motion: Almost sure growth along scaled paths. In: Séminaire de Probabilités XLIV. Vol. 2012. Berlin: Springer, pp. 375-399. (Lecture Notes in Mathematics; 2046)

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Official URL:

http://dx.doi.org/10.1007/978-3-642-27461-9_17

Related URLs:

• http://arxiv.org/abs/0906.0291v1

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 of particles in C[0, T], for large T, are rescaled onto C[0, 1]. The methods used are probabilistic and take advantage of modern spine techniques.

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