Quasi-stationary distributions for subcritical superprocesses

Rongli Liu; Yan Xia Ren; Renming Song; Zhenyao Sun

doi:10.1016/j.spa.2020.10.007

Quasi-stationary distributions for subcritical superprocesses

Rongli Liu, Yan Xia Ren, Renming Song, Zhenyao Sun^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	108-134
Number of pages	27
Journal	Stochastic Processes and their Applications
Volume	132
DOIs	https://doi.org/10.1016/j.spa.2020.10.007
Publication status	Published - Feb 2021
Externally published	Yes

Keywords

Quasi-stationary distribution
Superprocess
Yaglom limit

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10.1016/j.spa.2020.10.007

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Liu, R., Ren, Y. X., Song, R., & Sun, Z. (2021). Quasi-stationary distributions for subcritical superprocesses. Stochastic Processes and their Applications, 132, 108-134. https://doi.org/10.1016/j.spa.2020.10.007

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title = "Quasi-stationary distributions for subcritical superprocesses",

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.",

keywords = "Quasi-stationary distribution, Superprocess, Yaglom limit",

author = "Rongli Liu and Ren, {Yan Xia} and Renming Song and Zhenyao Sun",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",

year = "2021",

month = feb,

doi = "10.1016/j.spa.2020.10.007",

language = "English",

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T1 - Quasi-stationary distributions for subcritical superprocesses

AU - Liu, Rongli

AU - Ren, Yan Xia

AU - Song, Renming

AU - Sun, Zhenyao

PY - 2021/2

Y1 - 2021/2

N2 - 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.

AB - 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.

KW - Quasi-stationary distribution

KW - Superprocess

KW - Yaglom limit

UR - http://www.scopus.com/inward/record.url?scp=85096193683&partnerID=8YFLogxK

U2 - 10.1016/j.spa.2020.10.007

DO - 10.1016/j.spa.2020.10.007

M3 - Article

AN - SCOPUS:85096193683

SN - 0304-4149

VL - 132

SP - 108

EP - 134

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

ER -

Quasi-stationary distributions for subcritical superprocesses

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Keywords

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