Large deviations and almost sure convergence for the extremes of branching Lévy processes

Runjia Luo, Yan-Xia Ren, Renming Song +1

In this paper, we investigate the asymptotic behavior of supercritical branching Markov processes $\{{\mathbb{X}}_t,t\ge 0\}$ whose spatial motions are Lévy processes with regularl…