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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Acknowledgements
MIR was supported by an EPSRC studentship and by ANR MADCOF grant ANR-08-BLAN-0220-01.
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Harris, S.C., Roberts, M.I. (2012). Branching Brownian Motion: Almost Sure Growth Along Scaled Paths. In: Donati-Martin, C., Lejay, A., Rouault, A. (eds) Séminaire de Probabilités XLIV. Lecture Notes in Mathematics(), vol 2046. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27461-9_17
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DOI: https://doi.org/10.1007/978-3-642-27461-9_17
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