Height process for super-critical continuous state branching process

Details Height process for super-critical continuous state branching process Height process for super-critical continuous state branching process

2006-11-07

arxiv.org/abs/math/0611172v1

Mathematics

Probability

Scientific paper

We define the height process for super-critical continuous state branching processes with quadratic branching mechanism. It appears as a projective limit of Brownian motions with positive drift reflected at 0 and a>0 as a goes to infinity. Then we extend the pruning procedure of branching processes to the super-critical case. This give a complete duality picture between pruning and size proportional immigration for quadratic continuous state branching processes.

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