Branching Brownian motion: Almost sure growth along scaled paths

Simon C Harris, Matthew I Roberts

Research output: Contribution to journalArticle

1 Citation (Scopus)
129 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)375-399
JournalSéminaire de Probabilités
VolumeXLIV
DOIs
Publication statusPublished - 2012

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