Yan-Xia Ren

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math.PR2025

Law of iterated logarithm for supercritical non-symmetric branching Markov process

Haojie Hou, Yan-Xia Ren, Renming Song

Let ${(X_{t})_{t \geq 0}, P_{I^´_{x}}, x \in E}$ be a supercritical branching Markov process (which is not necessary symmetric) on a locally compact metric measure space $(E,Î¼…

math.PR2025

Asymptotic behaviors of subcritical branching killed LÃ©vy 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 LÃ©vy process $X$ in $R$ . Let…

math.PR2025

Large deviations and almost sure convergence for the extremes of branching LÃ©vy processes

Runjia Luo, Yan-Xia Ren, Renming Song +1

In this paper, we investigate the asymptotic behavior of supercritical branching Markov processes ${X_{t}, t \geq 0}$ whose spatial motions are LÃ©vy processes with regularl…

math.PR2025

Moments of additive martingales of branching LÃ©vy processes and applications

Yan-Xia Ren, Renming Song, Rui Zhang

Let $W_{t} (I^¸)$ be the Biggins martingale of a supercritical branching LÃ©vy process with non-local branching mechanism, and denote by $W_{\infty} (I^¸)$ its limit. In this paper, we fir…

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 $I^\pm$ -stable processes, $I^\pm \in (0, 2)$ . We obtain the exact asymptotic behaviors of the tails of the maximal positions of…

math.PR2024

Haojie Hou, Yan-Xia Ren, Renming Song

Consider a one dimensional critical branching LÃ©vy process $((Z_{t})_{t \geq 0}, P_{x})$ . Assume that the offspring distribution either has finite second moment or belongs to…

Law of iterated logarithm for supercritical non-symmetric branching Markov process

Asymptotic behaviors of subcritical branching killed LÃ©vy processes

Large deviations and almost sure convergence for the extremes of branching LÃ©vy processes

Moments of additive martingales of branching LÃ©vy processes and applications

Tail probability of maximal displacement in critical and subcritical branching stable processes

Local properties for 1-dimensional critical branching LÃ©vy process

Local properties for $1$ -dimensional critical branching LÃ©vy process