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

Beijing Jiaotong University
Peking University
University of Illinois at Urbana-Champaign
Technion-Israel Institute of Technology

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

5 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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@article{9d5944a6484641aa84579f049dfdf452,

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",

volume = "132",

pages = "108--134",

journal = "Stochastic Processes and their Applications",

issn = "0304-4149",

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TY - JOUR

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 - https://www.scopus.com/pages/publications/85096193683

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

Abstract

Keywords

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