Branching out
arXiv:1003.4715
Abstract
Results on the behaviour of the rightmost particle in the th generation in the branching random walk are reviewed and the phenomenon of anomalous spreading speeds, noticed recently in related deterministic models, is considered. The relationship between such results and certain coupled reaction-diffusion equations is indicated.
To appear in: Probability and Mathematical Genetics: Papers in Honour of Sir John Kingman, Cambridge University Press, 2010, 112-133