Corrigendum to “A probabilistic analysis of a discrete-time evolution in recombination” [Adv. in Appl. Math. 91 (2017) 115–136]

In the paper ‘A probabilistic analysis of a discrete-time evolution in recombination’ [4] the evolution of the recombination transformation Ξ = ∑ δ ρ δ ⨂ J ∈ δ μ J was described by a Markov chain ( Y n ) on a set of partitions, which converges to the finest partition. Our main results were the description of the geometric decay rate to the limit and the quasi-stationary behavior of the Markov chain when conditioned on the event that the chain does not hit the limit. All these results continue to be true, but the Markov chain ( Y n ) that was claimed to satisfy Ξ n = E ( ⨂ J ∈ Y n μ J ) required to be modified. This is done in this Corrigendum.