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math.PR2025
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 whose spatial motions are Lévy processes with regularly…
math.PR2025
Moments of additive martingales of branching Lévy processes and applications
Yan-Xia Ren, Renming Song, Rui Zhang
Let be the Biggins martingale of a supercritical branching Lévy process with non-local branching mechanism, and denote by its limit. In this paper, we first…