Boundedness of discounted tree sums

Elie Aïdékon, Yueyun Hu, Zhan Shi

Let $(V(u),u\in \mathcal{T})$ be a (supercritical) branching random walk and $(\hat{I}{\cdot }_u,u\in \mathcal{T})$ be marks on the vertices of the tree, distributed in an i.i.d.\ fashion.…