Electronic Communications in Probability

Erratum: The impact of selection in the $\Lambda$-Wright-Fisher Model

Clément Foucart

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Abstract

This is an Erratum for ECP volume 18 paper 72 (2013). The proof of statement 2) in Theorem 1.1 may not hold true. Indeed it relies on Lemma 2.5 which claims the transience of a certain Markov chain. The proof of Lemma 2.5 is incomplete because the arguments presented. In this note, we establish this transience.

Article information

Source
Electron. Commun. Probab., Volume 19 (2014), paper no. 15, 3 pp.

Dates
Accepted: 4 March 2014
First available in Project Euclid: 7 June 2016

Permanent link to this document
https://projecteuclid.org/euclid.ecp/1465316717

Digital Object Identifier
doi:10.1214/ECP.v19-3351

Mathematical Reviews number (MathSciNet)
MR3174833

Zentralblatt MATH identifier
1337.60180

Subjects
Primary: 60J25: Continuous-time Markov processes on general state spaces
Secondary: 60J75: Jump processes 60J28: Applications of continuous-time Markov processes on discrete state spaces 60G09: Exchangeability 92D25: Population dynamics (general) 92D15: Problems related to evolution

Keywords
Wright-Fisher model Model with selection Long-time behavior Lambda-coalescent Stochastic differential equations Coming down from inifinity Duality

Rights
This work is licensed under a Creative Commons Attribution 3.0 License.

Citation

Foucart, Clément. Erratum: The impact of selection in the $\Lambda$-Wright-Fisher Model. Electron. Commun. Probab. 19 (2014), paper no. 15, 3 pp. doi:10.1214/ECP.v19-3351. https://projecteuclid.org/euclid.ecp/1465316717


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