文章基本信息

标题：Erratum: Practical criteria for $R$-positive recurrence of unbounded semigroups
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作者：Nicolas Champagnat ; Denis Villemonais
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2020
卷号：25
DOI：10.1214/20-ECP307
语种：English
出版社：Electronic Communications in Probability
摘要：The proof of the second convergence of Theorem 2.1 provided in the original paper relies on properties of the so called Q-process, which is not, in general, defined on the whole state space. Hence the inequality is only proved for some restricted sets of functions and measures. This weakness can be easily repaired and we provide here a proof of the inequality that applies in full generality.
关键词：R-positivity; quasi-stationary distributions; mixing properties; Foster-Lyapunov criteria