Stable-like fluctuations of Biggins' martingales

Alexander Iksanov, Konrad Kolesko, Matthias Meiners

Let $(W_n(\theta ){)}_{n\in {\mathbb{N}}_0}$ be Biggins' martingale associated with a supercritical branching random walk, and let $W(\theta )$ be its almost sure limit. Under a natural condition…