Bessel processes, the Brownian snake and super-Brownian motion
  We prove that, both for the Brownian snake and for super-Brownian motion in dimension one, the historical path corresponding to the minimal spatial position is a Bessel process of dimension -5. We also discuss a spine decomposition for the Brownian snake conditioned on the minimizing path. 
Jean-Fran\c{c}ois Le Gall
math.PR