On quasi-stationaries for symmetric Markov processes

被引：2

作者：

Li, Huasheng ^{[1
]}

Zhang, Hanjun ^{[1
]}

Liao, Saixia ^{[1
]}

机构：

[1] Xiangtan Univ, Xiangtan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 528卷 / 01期

关键词：

Quasi-stationary distribution; Dirichet form; Markov process; Bottom eigenfunction; L-P-INDEPENDENCE; ONE-DIMENSIONAL DIFFUSIONS; SPECTRAL BOUNDS; HEAT KERNEL; DISTRIBUTIONS; ULTRACONTRACTIVITY; ERGODICITY; ATTRACTION; OPERATORS; DOMAIN;

D O I：

10.1016/j.jmaa.2023.127498

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper intends to give some mild sufficient conditions for the existence and uniqueness of quasi-stationary distributions (QSDs) for general symmetric Markov processes. Under the same conditions, it is also proved that: the unique QSD attracts exponentially all initial distributions supported in the allowed states; the considered process admits a quasi-ergo dic stationary distribution (QESD); the Lp-spectral bounds of its associated semigroup are independent of 1 < p < & INFIN;. Finally, we present three typical examples to illustrate these results. & COPY; 2023 Elsevier Inc. All rights reserved.

引用

页数：18

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