Edgeworth expansions for profiles of lattice branching random walks

Rudolf Grübel, Zakhar Kabluchko

Consider a branching random walk on $\mathbb{Z}$ in discrete time. Denote by $L_n(k)$ the number of particles at site $k\in \mathbb{Z}$ at time $n\in {\mathbb{N}}_0$. By the profile of th…