Occupation times of branching systems with initial inhomogeneous Poisson states and related superprocesses

Tomasz Bojdecki, Luis G. Gorostiza, Anna Talarczyk

The $(d,\alpha ,\beta ,\gamma )$-branching particle system consists of particles moving in $R^d$ according to a symmetric $\alpha$-stable Lévy process $(0<\alpha \le 2)$, splitting with a critical $(1+\beta )$-br…