Tail probability of maximal displacement in critical and subcritical branching stable processes

Haojie Hou, Yiyang Jiang, Yan-Xia Ren +1

In this paper, we study critical and subcritical branching $\alpha$-stable processes, $\alpha \in (0,2)$. We obtain the exact asymptotic behaviors of the tails of the maximal positions of al…