5 papers · 1 filter
A large-deviation principle for the empirical distribution of a regular branching random walk
Shuxiong Zhang, Yaping Zhu
Let \(\{Z_n\}_{n\geq0}\) be a supercritical branching random walk with deterministic rooted \(b\)-ary tree, \(b\geq2\), and symmetric displacements satisfying \(\lim_{x\to+\infty}x…
Asymptotic behaviours of critical branching random walk in
Haojie Hou, Yaping Zhu
In this paper, we study the asymptotic behaviours of a critical branching random walk in under the assumption that the offspring distribution belongs to the domain o…
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…
Asymptotic behaviors of subcritical branching killed Brownian motion with drift
Haojie Hou, Yan-Xia Ren, Renming Song +1
In this paper, we study asymptotic behaviors of a subcritical branching killed Brownian motion with drift and offspring distribution . Let b…
The extremal process of branching Brownian motion with absorption
Fan Yang, Yaping Zhu
In this paper, we study branching Brownian motion with absorption, in which particles undergo Brownian motions with drift and are killed upon reaching the origin. We prove that the…