Branching random walk with exponentially decreasing steps, and stochastically self-similar measures

Itai Benjamini, Ori Gurel-Gurevich, Boris Solomyak

We consider a Branching Random Walk on $\mathbb{R}$ whose step size decreases by a fixed factor, $0<b<1$, with each turn. This process generates a random probability measure on $\mathbb{R}$, that…