A space-time property of a class of measure-valued branching diffusions
A space-time property of a class of measure-valued branching diffusions
If d > a, it is shown that the ¿-dimensional branching diffusion of index a, studied by Dawson and others, distributes its mass over a random support in a uniform manner with respect to the Hausdorff <i>"-measure, where <f>"(x) = ^"loglogl/x.More surprisingly, it does so for all positive times simultaneously.Slightly …