  Euclidean branching Brownian motion (BBM) has been intensively studied during
many decades by renowned researchers. BBM on hyperbolic space has received less
attention. A profound study of Lalley and Sellke (1997) provided insight on the
recurrent, resp. transient regimes of BBM on the Poincare' disk. In particular,
they determined the Hausdorff dimension of the limit set on the boundary circle
in dependance on the fission rate of the branching particles. In the present
notes, some further features are exhibited, such as the rate of the maximal
hyperbolic distance to the starting point and the behaviour of the empiricial
distributions of the branching population, as time goes to infinity.
