6 papers
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…
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…
Law of iterated logarithm for supercritical non-symmetric branching Markov process
Haojie Hou, Yan-Xia Ren, Renming Song
Let be a supercritical branching Markov process (which is not necessary symmetric) on a locally compact metric measure space …
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 -stable processes, . We obtain the exact asymptotic behaviors of the tails of the maximal positions of al…
Asymptotic behaviors of subcritical branching killed Lévy processes
Yan-Xia Ren, Renming Song, Yaping Zhu
In this paper, we investigate the asymptotic behaviors of the survival probability and maximal displacement of a subcritical branching killed Lévy process in . Let…
-stable fluctuation of the derivative martingale of branching random walk
Haojie Hou, Yan-Xia Ren, Renming Song
In this paper, we study the functional convergence in law of the fluctuations of the derivative martingale of branching random walk on the real line. Our main result strengthens th…