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From the 1 of 7 linked papers with an AI index.

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20242026
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7 papers

math.PR2026

Small value probabilities of additive and derivative martingales in supercritical branching Brownian motions and super Brownian motions

Shukai Chen, Haojie Hou

The paper derives asymptotic formulas for the probabilities that additive and derivative martingales take very small values in supercritical branching Brownian motion and super Bro…

math.PR2026

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…

math.PR2026

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…

math.PR2025

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 $(E,μ…

math.PR2025

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…

math.PR2025

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…