Hausdorff and packing spectra, large deviations, and free energy for branching random walks in ${\mathbb{R}}^d$

Najmeddine Attia, Julien Barral

Consider an ${\mathbb{R}}^d$-valued branching random walk (BRW) on a supercritical Galton Watson tree. Without any assumption on the distribution of this BRW we compute, almost surely and si…