Appears in collection : Les probabilités de demain 2017

We consider a simple population genetics model with recombination. We assume that at time 0, all individuals of a haploid population have their unique chromosome painted in a distinct color. At rare birth events, due to recombination (modeled as a single crossing-over), the chromosome of the newborn is a mosaic of its two parental chromosomes. The partitioning process is then defined as the color partition of a sampled chromosome at time t. When t is large, all individuals end up having the same chromosome. I will discuss some results on the partitioning process at stationarity, concerning the number of colours and the description of a typical color cluster.