Abstracts > Chaumont Loïc

In 1969, Watanabe considered the problem of partial extinction for two dimensional Feller diffusions. He specified conditions for the first coordinate of the process to reach 0 in a time strictly less than the extinction time, with positive probability. In this paper, we extend these results to multitype branching processes with any branching mechanism. First, we establish a coupling result that allows us to compare the first coordinate of our process to two branching processes with immigration. Then, we obtain our main result by combining this coupling to known results about extinctions of continuous branching processes with immigration.
This is joint work with Clément Lamoureux and Weerapat Satitkanitkul.