Mass erasure on measured $\mathbb{R}$-trees, applications to Lévy forests

Thomas Duquesne, Matthias Winkel

Let $h>0$. For a complete and separable $\mathbb{R}$-tree $(T,d)$ equipped with a root $\rho$ and a finite Borel measure $\mu$, we define the $h$-mass-erased tree by removing from $T$ a…