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math.PR2022
Lower deviation for the supremum of the support of super-Brownian motion
Yan-Xia Ren, Renming Song, Rui Zhang
We study the asymptotic behavior of the supremum of the support of a supercritical super-Brownian motion. In our recent paper (Stoch. Proc. Appl. 137 (2021), 1-34), we showed…
math.PR2022
Weak convergence of the extremes of branching Lévy processes with regularly varying tails
Yan-Xia Ren, Renming Song, Rui Zhang
In this paper, we study the weak convergence of the extremes of supercritical branching Lévy processes whose spatial motions are Lévy processes with regu…
math.PR2022
The extremal process of super-Brownian motion: a probabilistic approach via skeletons
Yan-Xia Ren, Ting Yang, Rui Zhang
Recently Ren et al. [Stoch. Proc. Appl., 137 (2021)] have proved that the extremal process of the super-Brownian motion converges in distribution in the limit of large times. Their…