Hyperbolic branching Brownian motion

@inproceedings{Lalley1995HyperbolicBB,
  title={Hyperbolic branching Brownian motion},
  author={Steven P. Lalley and Tom Sellke},
  year={1995}
}
Hyperbolic branching Brownian motion is a branching di usion process in which individual particles follow independent Brownian paths in the hyperbolic plane H2, and undergo binary ssion(s) at rate ¿0. It is shown that there is a phase transition in : For 51=8 the number of particles in any compact region of H2 is eventually 0, w.p.1, but for ¿1=8 the number of particles in any open set grows to ∞ w.p.1. In the subcritical case ( 51=8) the set of all limit points in @H2 (the boundary circle at… CONTINUE READING