Open Access
2020 Erratum: Practical criteria for $R$-positive recurrence of unbounded semigroups
Nicolas Champagnat, Denis Villemonais
Electron. Commun. Probab. 25: 1-2 (2020). DOI: 10.1214/20-ECP307

Abstract

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.

Citation

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Nicolas Champagnat. Denis Villemonais. "Erratum: Practical criteria for $R$-positive recurrence of unbounded semigroups." Electron. Commun. Probab. 25 1 - 2, 2020. https://doi.org/10.1214/20-ECP307

Information

Received: 4 March 2020; Accepted: 9 March 2020; Published: 2020
First available in Project Euclid: 15 April 2020

zbMATH: 1441.60055
Digital Object Identifier: 10.1214/20-ECP307

Subjects:
Primary: 47A35 , 60J05 , 60J25

Keywords: Foster-Lyapunov criteria , mixing properties , Quasi-stationary distributions , R-positivity

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