Tail probability of maximal displacement in critical branching Lévy process with stable branching

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

Consider a critical branching Lévy process $\{X_t,t\ge 0\}$ with branching rate $\beta >0,$ offspring distribution $\{p_k:k\ge 0\}$ and spatial motion $\{{\xi }_t,{\Pi }_x\}$. For any $t\ge 0…