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Survival probability for super-Brownian motion with absorption

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  • Li, Zenghu
  • Zhu, Yaping

Abstract

We consider the supercritical super-Brownian motion with a general branching mechanism, where particles move as Brownian motion with drift −ρ and are killed when they reach the origin. We obtain a large-time asymptotic formula for the survival probability.

Suggested Citation

  • Li, Zenghu & Zhu, Yaping, 2022. "Survival probability for super-Brownian motion with absorption," Statistics & Probability Letters, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:stapro:v:186:y:2022:i:c:s0167715222000566
    DOI: 10.1016/j.spl.2022.109460
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    References listed on IDEAS

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    1. Berestycki, J. & Kyprianou, A.E. & Murillo-Salas, A., 2011. "The prolific backbone for supercritical superprocesses," Stochastic Processes and their Applications, Elsevier, vol. 121(6), pages 1315-1331, June.
    2. Ren, Yan-Xia & Song, Renming & Zhang, Rui, 2021. "The extremal process of super-Brownian motion," Stochastic Processes and their Applications, Elsevier, vol. 137(C), pages 1-34.
    3. Sheu, Yuan-Chung, 1997. "Lifetime and compactness of range for super-Brownian motion with a general branching mechanism," Stochastic Processes and their Applications, Elsevier, vol. 70(1), pages 129-141, October.
    4. Liu, Jiaqi, 2021. "A Yaglom type asymptotic result for subcritical branching Brownian motion with absorption," Stochastic Processes and their Applications, Elsevier, vol. 141(C), pages 245-273.
    5. Kesten, Harry, 1978. "Branching brownian motion with absorption," Stochastic Processes and their Applications, Elsevier, vol. 7(1), pages 9-47, March.
    Full references (including those not matched with items on IDEAS)

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