Asymptotic fluctuations in supercritical Crump-Mode-Jagers processes

Alexander Iksanov, Konrad Kolesko, Matthias Meiners

Consider a supercritical Crump--Mode--Jagers process $({\mathcal{Z}}_t^{\phi }{)}_{t\ge 0}$ counted with a random characteristic $\phi$. Nerman's celebrated law of large numbers [Z. Wahrsch. V…