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Small value probabilities of additive and derivative martingales in supercritical branching Brownian motions and super Brownian motions
Shukai Chen, Haojie Hou
In this paper, we establish asymptotics for the small value probabilities of additive and derivative martingales in both supercritical branching Brownian motions and super Brownian…
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…
On the maximal displacement of subcritical branching random walks with stretched exponential tail
Haojie Hou
We study the maximal displacement of a one-dimensional subcritical branching random walk with offspring distribution and step size such that $m := \sum_{k=1}^\infty k…
On the maximal displacement of subcritical branching random walks with or without killing
Haojie Hou, Shuxiong Zhang
Consider a subcritical branching random walk with offspring distribution and step size . Let denote the rightmost position reached…
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…