Quasi-stationary distributions for subcritical superprocesses

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:132

Article

Liu, Rongli¹  Ren, Yan-Xia^2,3  Song, Renming⁴  Sun, Zhenyao⁵ 

[1] Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China

[2] Peking Univ, LMAM Sch Math Sci, Beijing 100871, Peoples R China

[3] Peking Univ, Ctr Stat Sci, Beijing 100871, Peoples R China

[4] Univ Illinois, Dept Math, Urbana, IL 61801 USA

[5] Isreal Inst Technol, Fac Ind Engn & Management Technion, IL-3200003 Haifa, Israel

关键词: Superprocess;    Yaglom limit;    Quasi-stationary distribution;   

DOI  :  10.1016/j.spa.2020.10.007

来源: Elsevier

【 摘 要 】

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. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free