A conceptual approach to a path result for branching Brownian motion
Continuing their spine approach to branching diffusions [\texttt{http:///www.bath.ac.uk/\(^\sim\)massch/} Research/Papers] the authors give an intuitive, fairly straightforward proof of a path large-deviation result for branching Brownian motions with local space-independent binary branching. In contrast to the proof of \textit{T.-Y. Lee} [Ann. Probab. 20, No. 3, 1288--1309 (1992; Zbl 0759.60024)], which relied on Freidlin's work on rescaling solutions of reaction-diffusion equations, it combines a spine change of measure with Schilder's classical large-deviation result for Brownian motion.
scientific article; zbMATH DE number 5083389
scientific article