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Quasi-stationary distributions for subcritical superprocesses

Author

Listed:
  • Liu, Rongli
  • Ren, Yan-Xia
  • Song, Renming
  • Sun, Zhenyao

Abstract

Suppose that X is a subcritical superprocess. Under some asymptotic conditions on the mean semigroup of X, we prove the Yaglom limit of X exists and identify all quasi-stationary distributions of X.

Suggested Citation

  • Liu, Rongli & Ren, Yan-Xia & Song, Renming & Sun, Zhenyao, 2021. "Quasi-stationary distributions for subcritical superprocesses," Stochastic Processes and their Applications, Elsevier, vol. 132(C), pages 108-134.
    • Handle: RePEc:eee:spapps:v:132:y:2021:i:c:p:108-134
    DOI: 10.1016/j.spa.2020.10.007
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    References listed on IDEAS

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    1. Cohn, H. & Hering, H., 1983. "Inhomogeneous Markov branching processes: Supercritical case," Stochastic Processes and their Applications, Elsevier, vol. 14(1), pages 79-91, January.
    2. Ren, Yan-Xia & Song, Renming & Sun, Zhenyao, 2020. "Limit theorems for a class of critical superprocesses with stable branching," Stochastic Processes and their Applications, Elsevier, vol. 130(7), pages 4358-4391.
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    Cited by:

    1. Liu, Rongli & Ren, Yan-Xia & Song, Renming, 2022. "Convergence rate for a class of supercritical superprocesses," Stochastic Processes and their Applications, Elsevier, vol. 154(C), pages 286-327.
    2. Liu, Rongli & Ren, Yan-Xia & Song, Renming & Sun, Zhenyao, 2023. "Subcritical superprocesses conditioned on non-extinction," Stochastic Processes and their Applications, Elsevier, vol. 163(C), pages 498-534.

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