The exact convergence rates of the particle distributions in supercritical branching random walks and supercritical branching Wiener processes are obtained and a conjecture of Révész is confirmed.
"Exact Convergence Rates For The Distribution of Particles in Branching Random Walks." Ann. Appl. Probab. 11 (4) 1242 - 1262, November 2001. https://doi.org/10.1214/aoap/1015345402