Corrigendum to “A probabilistic analysis of a discrete-time evolution in recombination” (A probabilistic analysis of a discrete-time evolution in recombination (2017) 91 (115–136), (S0196885817300933), (10.1016/j.aam.2017.06.004))

Abstract

In the paper ‘A probabilistic analysis of a discrete-time evolution in recombination’ [4] the evolution of the recombination transformation Ξ=∑δρδ⨂J∈δμJ was described by a Markov chain (Yn) 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 (Yn) that was claimed to satisfy Ξn=E(⨂J∈Yn μJ) required to be modified. This is done in this Corrigendum.