ИСТИНА

In the talk the new limit theorems for properly normalized total and local particles numbers in supercritical catalytic branching processes with finitely many catalysts are presented. Namely, we find the corresponding limit distributions and even under some additional assumptions we establish the almost sure convergence of the particles numbers to a non-trivial limit. The obtained results generalize some earlier investigations devoted to branching random walks on integer lattices with a single source or multiple sources of branching.