Characterising random partitions by random colouring

Jakob E. Björnberg, Cécile Mailler, Peter Mörters +1

Let $(X_1,X_2,...)$ be a random partition of the unit interval $[0,1]$, i.e. $X_i\ge 0$ and ${\sum }_{i\ge 1}{X}_i=1$, and let $({\epsilon }_1,{\epsilon }_2,...)$ be i.i.d. Bernoulli r…