Convergence of spatial branching processes to $\alpha$-stable CSBPs: Genealogy of semi-pushed fronts

Félix Foutel-Rodier, Emmanuel Schertzer, Julie Tourniaire

We consider an inhomogeneous branching diffusion on an unbounded domain of ${\mathbb{R}}^d$ and propose a simple condition under which we expect the size process (i.e., the number of…